11553616656 has 40 divisors (see below), whose sum is σ = 33163160160. Its totient is φ = 3851205408.

The previous prime is 11553616643. The next prime is 11553616661. The reversal of 11553616656 is 65661635511.

11553616656 is a `hidden beast` number, since 1 + 1 + 5 + 536 + 1 + 66 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13371810 + ... + 13372673.

It is an arithmetic number, because the mean of its divisors is an integer number (829079004).

Almost surely, 2^11553616656 is an apocalyptic number.

11553616656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11553616656 is an abundant number, since it is smaller than the sum of its proper divisors (21609543504).

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

11553616656 is a wasteful number, since it uses less digits than its factorization.

11553616656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26744500 (or 26744488 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The spelling of 11553616656 in words is "eleven billion, five hundred fifty-three million, six hundred sixteen thousand, six hundred fifty-six".