97570285096960 has 416 divisors, whose sum is σ = 253661544767232. Its totient is φ = 35810660843520.

The previous prime is 97570285096957. The next prime is 97570285096993. The reversal of 97570285096960 is 6969058207579.

It is a tau number, because it is divible by the number of its divisors (416).

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 31 ways as a sum of consecutive naturals, for example, 71375482197 + ... + 71375483563.

Almost surely, 2^{97570285096960} 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 97570285096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126830772383616).

97570285096960 is an abundant number, since it is smaller than the sum of its proper divisors (156091259670272).

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

97570285096960 is a wasteful number, since it uses less digits than its factorization.

97570285096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 73.

The spelling of 97570285096960 in words is "ninety-seven trillion, five hundred seventy billion, two hundred eighty-five million, ninety-six thousand, nine hundred sixty".