10256135051664 has 30 divisors (see below), whose sum is σ = 28702933513046. Its totient is φ = 3418711683840.

The previous prime is 10256135051629. The next prime is 10256135051681. The reversal of 10256135051664 is 46615053165201.

10256135051664 is a `hidden beast` number, since 1 + 0 + 2 + 561 + 35 + 0 + 51 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10050218763264 + 205916288400 = 3170208^2 + 453780^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35611579897 + ... + 35611580184.

Almost surely, 2^{10256135051664} is an apocalyptic number.

It is an amenable number.

10256135051664 is an abundant number, since it is smaller than the sum of its proper divisors (18446798461382).

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

10256135051664 is a wasteful number, since it uses less digits than its factorization.

10256135051664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71223160095 (or 71223160086 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 10256135051664 in words is "ten trillion, two hundred fifty-six billion, one hundred thirty-five million, fifty-one thousand, six hundred sixty-four".