10556817582816 has 48 divisors (see below), whose sum is σ = 30790717952400. Its totient is φ = 3518939193984.

The previous prime is 10556817582803. The next prime is 10556817582917. The reversal of 10556817582816 is 61828571865501.

10556817582816 is a `hidden beast` number, since 1 + 0 + 5 + 568 + 1 + 7 + 58 + 2 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10556817582816² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6109268571 + ... + 6109270298.

It is an arithmetic number, because the mean of its divisors is an integer number (641473290675).

Almost surely, 2^{10556817582816} is an apocalyptic number.

10556817582816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10556817582816 is an abundant number, since it is smaller than the sum of its proper divisors (20233900369584).

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

10556817582816 is a wasteful number, since it uses less digits than its factorization.

10556817582816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12218538888 (or 12218538874 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 63.

The spelling of 10556817582816 in words is "ten trillion, five hundred fifty-six billion, eight hundred seventeen million, five hundred eighty-two thousand, eight hundred sixteen".