172006813291320 has 96 divisors (see below), whose sum is σ = 638882449377120. Its totient is φ = 39315843037440.

The previous prime is 172006813291303. The next prime is 172006813291393. The reversal of 172006813291320 is 23192318600271.

It is a happy number.

172006813291320 is a `hidden beast` number, since 1 + 7 + 20 + 0 + 6 + 8 + 13 + 291 + 320 = 666.

It is a super-2 number, since 2×172006813291320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 34128333451 + ... + 34128338490.

It is an arithmetic number, because the mean of its divisors is an integer number (6655025514345).

Almost surely, 2^{172006813291320} is an apocalyptic number.

172006813291320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172006813291320 is an abundant number, since it is smaller than the sum of its proper divisors (466875636085800).

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

172006813291320 is a wasteful number, since it uses less digits than its factorization.

172006813291320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68256671965 (or 68256671958 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 172006813291320 in words is "one hundred seventy-two trillion, six billion, eight hundred thirteen million, two hundred ninety-one thousand, three hundred twenty".