10026162147672 has 48 divisors (see below), whose sum is σ = 29622751802280. Its totient is φ = 3038230953600.

The previous prime is 10026162147629. The next prime is 10026162147733. The reversal of 10026162147672 is 27674126162001.

10026162147672 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 616 + 21 + 4 + 7 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×10026162147672² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6329647029 + ... + 6329648612.

Almost surely, 2^{10026162147672} is an apocalyptic number.

10026162147672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10026162147672 is an abundant number, since it is smaller than the sum of its proper divisors (19596589654608).

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

10026162147672 is a wasteful number, since it uses less digits than its factorization.

10026162147672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12659295664 (or 12659295657 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10026162147672 in words is "ten trillion, twenty-six billion, one hundred sixty-two million, one hundred forty-seven thousand, six hundred seventy-two".