172796856960 has 1024 divisors, whose sum is σ = 712594391040. Its totient is φ = 34637414400.

The previous prime is 172796856931. The next prime is 172796857001. The reversal of 172796856960 is 69658697271.

It is a junction number, because it is equal to n+sod(n) for n = 172796856891 and 172796856900.

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, 330395259 + ... + 330395781.

It is an arithmetic number, because the mean of its divisors is an integer number (695892960).

Almost surely, 2^172796856960 is an apocalyptic number.

172796856960 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 172796856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356297195520).

172796856960 is an abundant number, since it is smaller than the sum of its proper divisors (539797534080).

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

172796856960 is a wasteful number, since it uses less digits than its factorization.

172796856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 66.

The spelling of 172796856960 in words is "one hundred seventy-two billion, seven hundred ninety-six million, eight hundred fifty-six thousand, nine hundred sixty".