972872060160 has 2592 divisors, whose sum is σ = 4529663268480. Its totient is φ = 175761653760.

The previous prime is 972872060143. The next prime is 972872060161. The reversal of 972872060160 is 61060278279.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972872060161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5623537834 + ... + 5623538006.

Almost surely, 2^972872060160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972872060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264831634240).

972872060160 is an abundant number, since it is smaller than the sum of its proper divisors (3556791208320).

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

972872060160 is a wasteful number, since it uses less digits than its factorization.

972872060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 972872060160 in words is "nine hundred seventy-two billion, eight hundred seventy-two million, sixty thousand, one hundred sixty".