11565610106656 has 48 divisors (see below), whose sum is σ = 23111524890720. Its totient is φ = 5696030545920.

The previous prime is 11565610106639. The next prime is 11565610106689. The reversal of 11565610106656 is 65660101656511.

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 7 ways as a sum of consecutive naturals, for example, 26888935 + ... + 27315673.

It is an arithmetic number, because the mean of its divisors is an integer number (481490101890).

Almost surely, 2^{11565610106656} is an apocalyptic number.

11565610106656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11565610106656 is a deficient number, since it is larger than the sum of its proper divisors (11545914784064).

11565610106656 is a wasteful number, since it uses less digits than its factorization.

11565610106656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439457 (or 439449 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 49.

The spelling of 11565610106656 in words is "eleven trillion, five hundred sixty-five billion, six hundred ten million, one hundred six thousand, six hundred fifty-six".