1056115049600 has 96 divisors (see below), whose sum is σ = 2809621565940. Its totient is φ = 389950156800.

The previous prime is 1056115049581. The next prime is 1056115049653. The reversal of 1056115049600 is 69405116501.

It can be written as a sum of positive squares in 6 ways, for example, as 541590021184 + 514525028416 = 735928^2 + 717304^2 .

It is a super-2 number, since 2×1056115049600² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 12652091 + ... + 12735290.

Almost surely, 2^{1056115049600} is an apocalyptic number.

1056115049600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056115049600 is an abundant number, since it is smaller than the sum of its proper divisors (1753506516340).

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

1056115049600 is a wasteful number, since it uses less digits than its factorization.

1056115049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387418 (or 25387401 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 1056115049600 in words is "one trillion, fifty-six billion, one hundred fifteen million, forty-nine thousand, six hundred".