97657128576 has 384 divisors, whose sum is σ = 349872566400. Its totient is φ = 26687840256.

The previous prime is 97657128551. The next prime is 97657128577. The reversal of 97657128576 is 67582175679.

97657128576 is a `hidden beast` number, since 9 + 7 + 6 + 57 + 1 + 2 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×97657128576³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (97657128577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3882376 + ... + 3907448.

It is an arithmetic number, because the mean of its divisors is an integer number (911126475).

Almost surely, 2^97657128576 is an apocalyptic number.

97657128576 is a gapful number since it is divisible by the number (96) 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 97657128576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174936283200).

97657128576 is an abundant number, since it is smaller than the sum of its proper divisors (252215437824).

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

97657128576 is a wasteful number, since it uses less digits than its factorization.

97657128576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25133 (or 25108 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 63.

The spelling of 97657128576 in words is "ninety-seven billion, six hundred fifty-seven million, one hundred twenty-eight thousand, five hundred seventy-six".