172992456000 has 1344 divisors, whose sum is σ = 786609308160. Its totient is φ = 36445593600.

The previous prime is 172992455981. The next prime is 172992456001. The reversal of 172992456000 is 654299271.

172992456000 is a `hidden beast` number, since 17 + 2 + 9 + 9 + 24 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172992456001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 255527662 + ... + 255528338.

Almost surely, 2^172992456000 is an apocalyptic number.

172992456000 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 172992456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393304654080).

172992456000 is an abundant number, since it is smaller than the sum of its proper divisors (613616852160).

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

172992456000 is a wasteful number, since it uses less digits than its factorization.

172992456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 172992456000 in words is "one hundred seventy-two billion, nine hundred ninety-two million, four hundred fifty-six thousand".