1072656639117 has 80 divisors (see below), whose sum is σ = 1911433708800. Its totient is φ = 586130992128.

The previous prime is 1072656639113. The next prime is 1072656639133. The reversal of 1072656639117 is 7119366562701.

1072656639117 is a `hidden beast` number, since 1 + 0 + 72 + 6 + 566 + 3 + 9 + 1 + 1 + 7 = 666.

It is not a de Polignac number, because 1072656639117 - 2² = 1072656639113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072656639113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56705853 + ... + 56724765.

It is an arithmetic number, because the mean of its divisors is an integer number (23892921360).

Almost surely, 2^{1072656639117} is an apocalyptic number.

It is an amenable number.

1072656639117 is a deficient number, since it is larger than the sum of its proper divisors (838777069683).

1072656639117 is a wasteful number, since it uses less digits than its factorization.

1072656639117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23304 (or 23295 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 1072656639117 in words is "one trillion, seventy-two billion, six hundred fifty-six million, six hundred thirty-nine thousand, one hundred seventeen".