972500256000 has 4320 divisors, whose sum is σ = 4926219217920. Its totient is φ = 188116992000.

The previous prime is 972500255939. The next prime is 972500256029. The reversal of 972500256000 is 652005279.

972500256000 is a `hidden beast` number, since 9 + 7 + 25 + 0 + 0 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 31370975985 + ... + 31370976015.

Almost surely, 2^972500256000 is an apocalyptic number.

972500256000 is a gapful number since it is divisible by the number (90) 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 972500256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463109608960).

972500256000 is an abundant number, since it is smaller than the sum of its proper divisors (3953718961920).

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

972500256000 is a wasteful number, since it uses less digits than its factorization.

972500256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 972500256000 in words is "nine hundred seventy-two billion, five hundred million, two hundred fifty-six thousand".