972989177856 has 112 divisors (see below), whose sum is σ = 2595713607648. Its totient is φ = 324175462400.

The previous prime is 972989177833. The next prime is 972989177887. The reversal of 972989177856 is 658771989279.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59244526 + ... + 59260946.

It is an arithmetic number, because the mean of its divisors is an integer number (23176014354).

Almost surely, 2^972989177856 is an apocalyptic number.

972989177856 is a gapful number since it is divisible by the number (96) 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 972989177856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297856803824).

972989177856 is an abundant number, since it is smaller than the sum of its proper divisors (1622724429792).

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

972989177856 is a wasteful number, since it uses less digits than its factorization.

972989177856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18861 (or 18837 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 78.

The spelling of 972989177856 in words is "nine hundred seventy-two billion, nine hundred eighty-nine million, one hundred seventy-seven thousand, eight hundred fifty-six".