10051167672 has 96 divisors (see below), whose sum is σ = 33503914080. Its totient is φ = 2650855680.

The previous prime is 10051167667. The next prime is 10051167683. The reversal of 10051167672 is 27676115001.

10051167672 is a `hidden beast` number, since 1 + 0 + 0 + 511 + 6 + 76 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 760479 + ... + 773582.

It is an arithmetic number, because the mean of its divisors is an integer number (348999105).

Almost surely, 2^10051167672 is an apocalyptic number.

10051167672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10051167672 is an abundant number, since it is smaller than the sum of its proper divisors (23452746408).

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

10051167672 is a wasteful number, since it uses less digits than its factorization.

10051167672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534093 (or 1534086 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 10051167672 in words is "ten billion, fifty-one million, one hundred sixty-seven thousand, six hundred seventy-two".