971604955008 has 256 divisors, whose sum is σ = 2994393600000. Its totient is φ = 309566416896.

The previous prime is 971604954977. The next prime is 971604955073. The reversal of 971604955008 is 800559406179.

971604955008 is a `hidden beast` number, since 9 + 71 + 60 + 4 + 9 + 5 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139815918 + ... + 139822866.

It is an arithmetic number, because the mean of its divisors is an integer number (11696850000).

Almost surely, 2^971604955008 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 971604955008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497196800000).

971604955008 is an abundant number, since it is smaller than the sum of its proper divisors (2022788644992).

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

971604955008 is a wasteful number, since it uses less digits than its factorization.

971604955008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8754 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 971604955008 in words is "nine hundred seventy-one billion, six hundred four million, nine hundred fifty-five thousand, eight".