10010667376656 has 60 divisors (see below), whose sum is σ = 28022834935680. Its totient is φ = 3336070864320.

The previous prime is 10010667376579. The next prime is 10010667376657. The reversal of 10010667376656 is 65667376601001.

10010667376656 is a `hidden beast` number, since 100 + 106 + 6 + 7 + 376 + 65 + 6 = 666.

It is a super-2 number, since 2×10010667376656² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10010667376657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7934140 + ... + 9108891.

It is an arithmetic number, because the mean of its divisors is an integer number (467047248928).

Almost surely, 2^{10010667376656} is an apocalyptic number.

10010667376656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10010667376656 is an abundant number, since it is smaller than the sum of its proper divisors (18012167559024).

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

10010667376656 is a wasteful number, since it uses less digits than its factorization.

10010667376656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17047124 (or 17047115 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 10010667376656 in words is "ten trillion, ten billion, six hundred sixty-seven million, three hundred seventy-six thousand, six hundred fifty-six".