172118788800 has 672 divisors, whose sum is σ = 676661071872. Its totient is φ = 37450321920.

The previous prime is 172118788789. The next prime is 172118788841. The reversal of 172118788800 is 8887811271.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218702007 + ... + 218702793.

Almost surely, 2^172118788800 is an apocalyptic number.

172118788800 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 172118788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338330535936).

172118788800 is an abundant number, since it is smaller than the sum of its proper divisors (504542283072).

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

172118788800 is a wasteful number, since it uses less digits than its factorization.

172118788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 51.

The spelling of 172118788800 in words is "one hundred seventy-two billion, one hundred eighteen million, seven hundred eighty-eight thousand, eight hundred".