97505664000 has 352 divisors, whose sum is σ = 334843871232. Its totient is φ = 25159680000.

The previous prime is 97505663999. The next prime is 97505664017. The reversal of 97505664000 is 46650579.

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, 11899905 + ... + 11908095.

Almost surely, 2^97505664000 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 97505664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167421935616).

97505664000 is an abundant number, since it is smaller than the sum of its proper divisors (237338207232).

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

97505664000 is a wasteful number, since it uses less digits than its factorization.

97505664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 97505664000 in words is "ninety-seven billion, five hundred five million, six hundred sixty-four thousand".