96988618315575 has 384 divisors, whose sum is σ = 209991605391360. Its totient is φ = 43516633466880.

The previous prime is 96988618315507. The next prime is 96988618315577. The reversal of 96988618315575 is 57551381688969.

96988618315575 is a `hidden beast` number, since 9 + 6 + 9 + 8 + 8 + 6 + 1 + 8 + 31 + 5 + 575 = 666.

96988618315575 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 96988618315575 - 2¹⁴ = 96988618299191 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 96988618315494 and 96988618315503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96988618315577) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4454525389 + ... + 4454547161.

It is an arithmetic number, because the mean of its divisors is an integer number (546853139040).

Almost surely, 2^{96988618315575} is an apocalyptic number.

96988618315575 is an abundant number, since it is smaller than the sum of its proper divisors (113002987075785).

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

96988618315575 is a wasteful number, since it uses less digits than its factorization.

96988618315575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22027 (or 22004 counting only the distinct ones).

The product of its digits is 3919104000, while the sum is 81.

The spelling of 96988618315575 in words is "ninety-six trillion, nine hundred eighty-eight billion, six hundred eighteen million, three hundred fifteen thousand, five hundred seventy-five".