172800456000 has 448 divisors, whose sum is σ = 580919539200. Its totient is φ = 45254246400.

The previous prime is 172800455999. The next prime is 172800456013. The reversal of 172800456000 is 654008271.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463271814 + ... + 463272186.

It is an arithmetic number, because the mean of its divisors is an integer number (1296695400).

Almost surely, 2^172800456000 is an apocalyptic number.

172800456000 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 172800456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290459769600).

172800456000 is an abundant number, since it is smaller than the sum of its proper divisors (408119083200).

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

172800456000 is a wasteful number, since it uses less digits than its factorization.

172800456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 172800456000 in words is "one hundred seventy-two billion, eight hundred million, four hundred fifty-six thousand".