10656055635552 has 72 divisors (see below), whose sum is σ = 30303538443360. Its totient is φ = 3551973976320.

The previous prime is 10656055635539. The next prime is 10656055635571. The reversal of 10656055635552 is 25553655065601.

10656055635552 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 0 + 5 + 56 + 35 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10656055635552² (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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29249974 + ... + 29612042.

It is an arithmetic number, because the mean of its divisors is an integer number (420882478380).

Almost surely, 2^{10656055635552} is an apocalyptic number.

10656055635552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10656055635552 is an abundant number, since it is smaller than the sum of its proper divisors (19647482807808).

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

10656055635552 is a wasteful number, since it uses less digits than its factorization.

10656055635552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464276 (or 464265 counting only the distinct ones).

The product of its (nonzero) digits is 20250000, while the sum is 54.

The spelling of 10656055635552 in words is "ten trillion, six hundred fifty-six billion, fifty-five million, six hundred thirty-five thousand, five hundred fifty-two".