97315613960760 has 384 divisors, whose sum is σ = 341804225468160. Its totient is φ = 23870387404800.

The previous prime is 97315613960759. The next prime is 97315613960837. The reversal of 97315613960760 is 6706931651379.

97315613960760 is a `hidden beast` number, since 9 + 7 + 3 + 1 + 5 + 6 + 13 + 9 + 607 + 6 + 0 = 666.

It is a super-2 number, since 2×97315613960760² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1627566465 + ... + 1627626255.

It is an arithmetic number, because the mean of its divisors is an integer number (890115170490).

Almost surely, 2^{97315613960760} is an apocalyptic number.

97315613960760 is a gapful number since it is divisible by the number (90) 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 97315613960760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170902112734080).

97315613960760 is an abundant number, since it is smaller than the sum of its proper divisors (244488611507400).

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

97315613960760 is a wasteful number, since it uses less digits than its factorization.

97315613960760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61039 (or 61032 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

The spelling of 97315613960760 in words is "ninety-seven trillion, three hundred fifteen billion, six hundred thirteen million, nine hundred sixty thousand, seven hundred sixty".