172399434480 has 800 divisors, whose sum is σ = 760799305728. Its totient is φ = 35197286400.

The previous prime is 172399434397. The next prime is 172399434509. The reversal of 172399434480 is 84434993271.

172399434480 is a `hidden beast` number, since 1 + 72 + 3 + 9 + 94 + 3 + 4 + 480 = 666.

172399434480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18275365 + ... + 18284795.

Almost surely, 2^172399434480 is an apocalyptic number.

172399434480 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 172399434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380399652864).

172399434480 is an abundant number, since it is smaller than the sum of its proper divisors (588399871248).

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

172399434480 is a wasteful number, since it uses less digits than its factorization.

172399434480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9507 (or 9492 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 172399434480 in words is "one hundred seventy-two billion, three hundred ninety-nine million, four hundred thirty-four thousand, four hundred eighty".