172079819520 has 576 divisors, whose sum is σ = 670803517440. Its totient is φ = 36746035200.

The previous prime is 172079819437. The next prime is 172079819537. The reversal of 172079819520 is 25918970271.

It is a super-2 number, since 2×172079819520² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24161560 + ... + 24168680.

It is an arithmetic number, because the mean of its divisors is an integer number (1164589440).

Almost surely, 2^172079819520 is an apocalyptic number.

172079819520 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 172079819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335401758720).

172079819520 is an abundant number, since it is smaller than the sum of its proper divisors (498723697920).

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

172079819520 is a wasteful number, since it uses less digits than its factorization.

172079819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 51.

The spelling of 172079819520 in words is "one hundred seventy-two billion, seventy-nine million, eight hundred nineteen thousand, five hundred twenty".