172089073152000 has 1664 divisors, whose sum is σ = 675657635328000. Its totient is φ = 43065409536000.

The previous prime is 172089073151971. The next prime is 172089073152019. The reversal of 172089073152000 is 251370980271.

172089073152000 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 8 + 90 + 7 + 31 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×172089073152000² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101288447151 + ... + 101288448849.

It is an arithmetic number, because the mean of its divisors is an integer number (406044252000).

Almost surely, 2^{172089073152000} is an apocalyptic number.

172089073152000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172089073152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337828817664000).

172089073152000 is an abundant number, since it is smaller than the sum of its proper divisors (503568562176000).

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

172089073152000 is a wasteful number, since it uses less digits than its factorization.

172089073152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 172089073152000 in words is "one hundred seventy-two trillion, eighty-nine billion, seventy-three million, one hundred fifty-two thousand".