16101296566056 has 96 divisors (see below), whose sum is σ = 47224473660000. Its totient is φ = 4926567699072.

The previous prime is 16101296566027. The next prime is 16101296566073. The reversal of 16101296566056 is 65066569210161.

16101296566056 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 1 + 29 + 6 + 5 + 6 + 605 + 6 = 666.

16101296566056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16101296566056² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16101296565993 and 16101296566011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47883406 + ... + 48218493.

It is an arithmetic number, because the mean of its divisors is an integer number (491921600625).

Almost surely, 2^{16101296566056} is an apocalyptic number.

It is an amenable number.

16101296566056 is an abundant number, since it is smaller than the sum of its proper divisors (31123177093944).

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

16101296566056 is a wasteful number, since it uses less digits than its factorization.

16101296566056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96102103 (or 96102096 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 16101296566056 in words is "sixteen trillion, one hundred one billion, two hundred ninety-six million, five hundred sixty-six thousand, fifty-six".