11516511066656 has 48 divisors (see below), whose sum is σ = 23558289531840. Its totient is φ = 5535202848000.

The previous prime is 11516511066617. The next prime is 11516511066673. The reversal of 11516511066656 is 65666011561511.

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, 27124220 + ... + 27545531.

It is an arithmetic number, because the mean of its divisors is an integer number (490797698580).

Almost surely, 2^{11516511066656} is an apocalyptic number.

11516511066656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11516511066656 is an abundant number, since it is smaller than the sum of its proper divisors (12041778465184).

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

11516511066656 is a wasteful number, since it uses less digits than its factorization.

11516511066656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54670017 (or 54670009 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 50.

The spelling of 11516511066656 in words is "eleven trillion, five hundred sixteen billion, five hundred eleven million, sixty-six thousand, six hundred fifty-six".