1056561616600 has 96 divisors (see below), whose sum is σ = 2836378147680. Its totient is φ = 358515118080.

The previous prime is 1056561616577. The next prime is 1056561616601. The reversal of 1056561616600 is 66161656501.

It is a super-2 number, since 2×1056561616600² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056561616601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3754339 + ... + 4025938.

It is an arithmetic number, because the mean of its divisors is an integer number (29545605705).

Almost surely, 2^{1056561616600} is an apocalyptic number.

1056561616600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056561616600 is an abundant number, since it is smaller than the sum of its proper divisors (1779816531080).

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

1056561616600 is a wasteful number, since it uses less digits than its factorization.

1056561616600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780397 (or 7780388 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 1056561616600 in words is "one trillion, fifty-six billion, five hundred sixty-one million, six hundred sixteen thousand, six hundred".