172717628400 has 600 divisors, whose sum is σ = 642987417600. Its totient is φ = 44355340800.

The previous prime is 172717628383. The next prime is 172717628441. The reversal of 172717628400 is 4826717271.

172717628400 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 17 + 628 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 360579361 + ... + 360579839.

It is an arithmetic number, because the mean of its divisors is an integer number (1071645696).

Almost surely, 2^172717628400 is an apocalyptic number.

172717628400 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 172717628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321493708800).

172717628400 is an abundant number, since it is smaller than the sum of its proper divisors (470269789200).

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

172717628400 is a wasteful number, since it uses less digits than its factorization.

172717628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 172717628400 in words is "one hundred seventy-two billion, seven hundred seventeen million, six hundred twenty-eight thousand, four hundred".