1057806449280 has 1152 divisors, whose sum is σ = 4445237422080. Its totient is φ = 239661047808.

The previous prime is 1057806449261. The next prime is 1057806449299. The reversal of 1057806449280 is 829446087501.

It is a happy number.

1057806449280 is a `hidden beast` number, since 1 + 0 + 5 + 78 + 0 + 6 + 4 + 492 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1057806449261) and next prime (1057806449299).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1057806449280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 967800414 + ... + 967801506.

It is an arithmetic number, because the mean of its divisors is an integer number (3858713040).

Almost surely, 2^{1057806449280} is an apocalyptic number.

1057806449280 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 1057806449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222618711040).

1057806449280 is an abundant number, since it is smaller than the sum of its proper divisors (3387430972800).

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

1057806449280 is a wasteful number, since it uses less digits than its factorization.

1057806449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1057806449280 in words is "one trillion, fifty-seven billion, eight hundred six million, four hundred forty-nine thousand, two hundred eighty".