97325597952000 has 2304 divisors, whose sum is σ = 406667905862400. Its totient is φ = 23011983360000.

The previous prime is 97325597951947. The next prime is 97325597952001. The reversal of 97325597952000 is 25979552379.

97325597952000 is a `hidden beast` number, since 9 + 7 + 3 + 2 + 559 + 79 + 5 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (97325597952001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28055806266 + ... + 28055809734.

It is an arithmetic number, because the mean of its divisors is an integer number (176505167475).

Almost surely, 2^{97325597952000} is an apocalyptic number.

97325597952000 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 97325597952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203333952931200).

97325597952000 is an abundant number, since it is smaller than the sum of its proper divisors (309342307910400).

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

97325597952000 is a wasteful number, since it uses less digits than its factorization.

97325597952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 53581500, while the sum is 63.

The spelling of 97325597952000 in words is "ninety-seven trillion, three hundred twenty-five billion, five hundred ninety-seven million, nine hundred fifty-two thousand".