972515523168 has 576 divisors, whose sum is σ = 3395198177280. Its totient is φ = 258067713024.

The previous prime is 972515523113. The next prime is 972515523209. The reversal of 972515523168 is 861325515279.

972515523168 is a `hidden beast` number, since 9 + 7 + 2 + 51 + 5 + 523 + 1 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227061955 + ... + 227066237.

It is an arithmetic number, because the mean of its divisors is an integer number (5894441280).

Almost surely, 2^972515523168 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 972515523168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697599088640).

972515523168 is an abundant number, since it is smaller than the sum of its proper divisors (2422682654112).

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

972515523168 is a wasteful number, since it uses less digits than its factorization.

972515523168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4460 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 972515523168 in words is "nine hundred seventy-two billion, five hundred fifteen million, five hundred twenty-three thousand, one hundred sixty-eight".