1057586753280 has 72 divisors (see below), whose sum is σ = 3377667705552. Its totient is φ = 282023133184.

The previous prime is 1057586753269. The next prime is 1057586753287. The reversal of 1057586753280 is 823576857501.

It is a super-2 number, since 2×1057586753280² (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 1057586753280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057586753287) 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 7 ways as a sum of consecutive naturals, for example, 137702769 + ... + 137710448.

It is an arithmetic number, because the mean of its divisors is an integer number (46912051466).

Almost surely, 2^{1057586753280} is an apocalyptic number.

1057586753280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057586753280 is an abundant number, since it is smaller than the sum of its proper divisors (2320080952272).

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

1057586753280 is an equidigital number, since it uses as much as digits as its factorization.

1057586753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275413241 (or 275413227 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 57.

The spelling of 1057586753280 in words is "one trillion, fifty-seven billion, five hundred eighty-six million, seven hundred fifty-three thousand, two hundred eighty".