8972257105920 has 1152 divisors, whose sum is σ = 32494519249920. Its totient is φ = 2105073991680.

The previous prime is 8972257105913. The next prime is 8972257105927. The reversal of 8972257105920 is 295017522798.

It is an interprime number because it is at equal distance from previous prime (8972257105913) and next prime (8972257105927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8972257105927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12984452775 + ... + 12984453465.

It is an arithmetic number, because the mean of its divisors is an integer number (28207047960).

Almost surely, 2^{8972257105920} is an apocalyptic number.

8972257105920 is a gapful number since it is divisible by the number (80) 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 8972257105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16247259624960).

8972257105920 is an abundant number, since it is smaller than the sum of its proper divisors (23522262144000).

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

8972257105920 is a wasteful number, since it uses less digits than its factorization.

8972257105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 57.

The spelling of 8972257105920 in words is "eight trillion, nine hundred seventy-two billion, two hundred fifty-seven million, one hundred five thousand, nine hundred twenty".