172796874624000 has 3168 divisors, whose sum is σ = 708981539954688. Its totient is φ = 40414961664000.

The previous prime is 172796874623977. The next prime is 172796874624047. The reversal of 172796874624000 is 426478697271.

172796874624000 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 96 + 87 + 4 + 62 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 761219711887 + ... + 761219712113.

It is an arithmetic number, because the mean of its divisors is an integer number (223794678016).

Almost surely, 2^{172796874624000} is an apocalyptic number.

172796874624000 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 172796874624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354490769977344).

172796874624000 is an abundant number, since it is smaller than the sum of its proper divisors (536184665330688).

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

172796874624000 is a wasteful number, since it uses less digits than its factorization.

172796874624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 172796874624000 in words is "one hundred seventy-two trillion, seven hundred ninety-six billion, eight hundred seventy-four million, six hundred twenty-four thousand".