97315907665920 has 256 divisors, whose sum is σ = 315348128640000. Its totient is φ = 25622405971968.

The previous prime is 97315907665909. The next prime is 97315907665969. The reversal of 97315907665920 is 2956670951379.

97315907665920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37576981 + ... + 40083179.

It is an arithmetic number, because the mean of its divisors is an integer number (1231828627500).

Almost surely, 2^{97315907665920} 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 97315907665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157674064320000).

97315907665920 is an abundant number, since it is smaller than the sum of its proper divisors (218032220974080).

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

97315907665920 is an equidigital number, since it uses as much as digits as its factorization.

97315907665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506316 (or 2506288 counting only the distinct ones).

The product of its (nonzero) digits is 192893400, while the sum is 69.

The spelling of 97315907665920 in words is "ninety-seven trillion, three hundred fifteen billion, nine hundred seven million, six hundred sixty-five thousand, nine hundred twenty".