97957075260 has 192 divisors, whose sum is σ = 315808819200. Its totient is φ = 22436870400.

The previous prime is 97957075219. The next prime is 97957075261. The reversal of 97957075260 is 6257075979.

97957075260 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 97957075260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97957075261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4742355 + ... + 4762965.

It is an arithmetic number, because the mean of its divisors is an integer number (1644837600).

Almost surely, 2^97957075260 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 97957075260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157904409600).

97957075260 is an abundant number, since it is smaller than the sum of its proper divisors (217851743940).

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

97957075260 is a wasteful number, since it uses less digits than its factorization.

97957075260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21032 (or 21030 counting only the distinct ones).

The product of its (nonzero) digits is 8334900, while the sum is 57.

The spelling of 97957075260 in words is "ninety-seven billion, nine hundred fifty-seven million, seventy-five thousand, two hundred sixty".