172896199902720 has 2560 divisors, whose sum is σ = 809273203200000. Its totient is φ = 34020916199424.

The previous prime is 172896199902689. The next prime is 172896199902787. The reversal of 172896199902720 is 27209991698271.

It is a happy number.

172896199902720 is a `hidden beast` number, since 1 + 7 + 2 + 89 + 6 + 199 + 90 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4532110206 + ... + 4532148354.

It is an arithmetic number, because the mean of its divisors is an integer number (316122345000).

Almost surely, 2^{172896199902720} is an apocalyptic number.

172896199902720 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 172896199902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404636601600000).

172896199902720 is an abundant number, since it is smaller than the sum of its proper divisors (636377003297280).

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

172896199902720 is a wasteful number, since it uses less digits than its factorization.

172896199902720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38253 (or 38231 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 72.

The spelling of 172896199902720 in words is "one hundred seventy-two trillion, eight hundred ninety-six billion, one hundred ninety-nine million, nine hundred two thousand, seven hundred twenty".