97565682600 has 960 divisors, whose sum is σ = 381320058240. Its totient is φ = 22992076800.

The previous prime is 97565682569. The next prime is 97565682619. The reversal of 97565682600 is 628656579.

It is a happy number.

97565682600 is a `hidden beast` number, since 9 + 7 + 56 + 568 + 26 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 462396495 + ... + 462396705.

It is an arithmetic number, because the mean of its divisors is an integer number (397208394).

Almost surely, 2^97565682600 is an apocalyptic number.

97565682600 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 97565682600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190660029120).

97565682600 is an abundant number, since it is smaller than the sum of its proper divisors (283754375640).

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

97565682600 is a wasteful number, since it uses less digits than its factorization.

97565682600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 97565682600 in words is "ninety-seven billion, five hundred sixty-five million, six hundred eighty-two thousand, six hundred".