972558752256 has 1920 divisors, whose sum is σ = 3939683844096. Its totient is φ = 232190115840.

The previous prime is 972558752251. The next prime is 972558752281. The reversal of 972558752256 is 652257855279.

It is a happy number.

972558752256 is a `hidden beast` number, since 9 + 7 + 2 + 5 + 58 + 7 + 522 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 972558752193 and 972558752202.

It is not an unprimeable number, because it can be changed into a prime (972558752251) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5966618031 + ... + 5966618193.

Almost surely, 2^972558752256 is an apocalyptic number.

972558752256 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 972558752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969841922048).

972558752256 is an abundant number, since it is smaller than the sum of its proper divisors (2967125091840).

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

972558752256 is a wasteful number, since it uses less digits than its factorization.

972558752256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 236 counting only the distinct ones).

The product of its digits is 105840000, while the sum is 63.

The spelling of 972558752256 in words is "nine hundred seventy-two billion, five hundred fifty-eight million, seven hundred fifty-two thousand, two hundred fifty-six".