972555890688 has 416 divisors, whose sum is σ = 2940267571200. Its totient is φ = 321590476800.

The previous prime is 972555890639. The next prime is 972555890689. The reversal of 972555890688 is 886098555279.

972555890688 is a `hidden beast` number, since 9 + 7 + 2 + 5 + 558 + 9 + 0 + 68 + 8 = 666.

It is a super-2 number, since 2×972555890688² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (972555890689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1352650393 + ... + 1352651111.

Almost surely, 2^972555890688 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 972555890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470133785600).

972555890688 is an abundant number, since it is smaller than the sum of its proper divisors (1967711680512).

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

972555890688 is an frugal number, since it uses more digits than its factorization.

972555890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 72.

The spelling of 972555890688 in words is "nine hundred seventy-two billion, five hundred fifty-five million, eight hundred ninety thousand, six hundred eighty-eight".