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1057480718880 = 253523401323869
BaseRepresentation
bin11110110001101101100…
…00110011101000100000
310202002112122112111020010
433120312300303220200
5114311210031001010
62125444441444520
7136254233541555
oct17306660635040
93662478474203
101057480718880
1137852532a843
12150b441a0740
1378948b05431
143927a4aaa2c
151c792c30620
hexf636c33a20

1057480718880 has 192 divisors, whose sum is σ = 3476904963840. Its totient is φ = 269655699456.

The previous prime is 1057480718869. The next prime is 1057480718881. The reversal of 1057480718880 is 888170847501.

It is a happy number.

It is a super-2 number, since 2×10574807188802 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057480718880.

It is not an unprimeable number, because it can be changed into a prime (1057480718881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44291586 + ... + 44315454.

It is an arithmetic number, because the mean of its divisors is an integer number (18108880020).

Almost surely, 21057480718880 is an apocalyptic number.

1057480718880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057480718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738452481920).

1057480718880 is an abundant number, since it is smaller than the sum of its proper divisors (2419424244960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1057480718880 is a wasteful number, since it uses less digits than its factorization.

1057480718880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27923 (or 27915 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 57.

The spelling of 1057480718880 in words is "one trillion, fifty-seven billion, four hundred eighty million, seven hundred eighteen thousand, eight hundred eighty".