10117952668656 has 80 divisors (see below), whose sum is σ = 33191167494400. Its totient is φ = 2890843618752.

The previous prime is 10117952668633. The next prime is 10117952668697. The reversal of 10117952668656 is 65686625971101.

10117952668656 is a `hidden beast` number, since 10 + 1 + 17 + 9 + 526 + 6 + 86 + 5 + 6 = 666.

10117952668656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10117952668593 and 10117952668602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672938886 + ... + 1672944933.

It is an arithmetic number, because the mean of its divisors is an integer number (414889593680).

Almost surely, 2^{10117952668656} is an apocalyptic number.

10117952668656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10117952668656 is an abundant number, since it is smaller than the sum of its proper divisors (23073214825744).

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

10117952668656 is a wasteful number, since it uses less digits than its factorization.

10117952668656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345883843 (or 3345883831 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 10117952668656 in words is "ten trillion, one hundred seventeen billion, nine hundred fifty-two million, six hundred sixty-eight thousand, six hundred fifty-six".