1056257592000 has 224 divisors, whose sum is σ = 3756053106624. Its totient is φ = 260001792000.

The previous prime is 1056257591929. The next prime is 1056257592001. The reversal of 1056257592000 is 2957526501.

It is a super-2 number, since 2×1056257592000² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1056257592001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380721 + ... + 2004720.

It is an arithmetic number, because the mean of its divisors is an integer number (16768094226).

Almost surely, 2^{1056257592000} is an apocalyptic number.

1056257592000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056257592000 is an abundant number, since it is smaller than the sum of its proper divisors (2699795514624).

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

1056257592000 is a wasteful number, since it uses less digits than its factorization.

1056257592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385484 (or 3385464 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 1056257592000 in words is "one trillion, fifty-six billion, two hundred fifty-seven million, five hundred ninety-two thousand".