972258940800 has 3456 divisors, whose sum is σ = 4723572672000. Its totient is φ = 195641671680.

The previous prime is 972258940769. The next prime is 972258940813. The reversal of 972258940800 is 8049852279.

972258940800 is a `hidden beast` number, since 9 + 7 + 225 + 8 + 9 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12307075161 + ... + 12307075239.

It is an arithmetic number, because the mean of its divisors is an integer number (1366774500).

Almost surely, 2^972258940800 is an apocalyptic number.

972258940800 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 972258940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361786336000).

972258940800 is an abundant number, since it is smaller than the sum of its proper divisors (3751313731200).

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

972258940800 is a wasteful number, since it uses less digits than its factorization.

972258940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 972258940800 in words is "nine hundred seventy-two billion, two hundred fifty-eight million, nine hundred forty thousand, eight hundred".