972057590784 has 528 divisors, whose sum is σ = 3394985527200. Its totient is φ = 273898340352.

The previous prime is 972057590783. The next prime is 972057590797. The reversal of 972057590784 is 487095750279.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972057590783) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98891982 + ... + 98901810.

Almost surely, 2^972057590784 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 972057590784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697492763600).

972057590784 is an abundant number, since it is smaller than the sum of its proper divisors (2422927936416).

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

972057590784 is a wasteful number, since it uses less digits than its factorization.

972057590784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 972057590784 in words is "nine hundred seventy-two billion, fifty-seven million, five hundred ninety thousand, seven hundred eighty-four".