97516872165888 has 800 divisors, whose sum is σ = 340820666081280. Its totient is φ = 27178655293440.

The previous prime is 97516872165883. The next prime is 97516872165943. The reversal of 97516872165888 is 88856127861579.

It is a happy number.

97516872165888 is a `hidden beast` number, since 9 + 7 + 5 + 1 + 6 + 8 + 7 + 21 + 6 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (97516872165883) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10473292753 + ... + 10473302063.

Almost surely, 2^{97516872165888} 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 97516872165888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170410333040640).

97516872165888 is an abundant number, since it is smaller than the sum of its proper divisors (243303793915392).

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

97516872165888 is an equidigital number, since it uses as much as digits as its factorization.

97516872165888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10230 (or 10205 counting only the distinct ones).

The product of its digits is 3251404800, while the sum is 81.

The spelling of 97516872165888 in words is "ninety-seven trillion, five hundred sixteen billion, eight hundred seventy-two million, one hundred sixty-five thousand, eight hundred eighty-eight".