172119430080 has 672 divisors, whose sum is σ = 674363708928. Its totient is φ = 39990067200.

The previous prime is 172119430033. The next prime is 172119430097. The reversal of 172119430080 is 80034911271.

It is a happy number.

172119430080 is a `hidden beast` number, since 1 + 7 + 211 + 9 + 430 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×172119430080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 47584432 + ... + 47588048.

It is an arithmetic number, because the mean of its divisors is an integer number (1003517424).

Almost surely, 2^172119430080 is an apocalyptic number.

172119430080 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 172119430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337181854464).

172119430080 is an abundant number, since it is smaller than the sum of its proper divisors (502244278848).

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

172119430080 is a wasteful number, since it uses less digits than its factorization.

172119430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 172119430080 in words is "one hundred seventy-two billion, one hundred nineteen million, four hundred thirty thousand, eighty".