96335769583872 has 432 divisors, whose sum is σ = 345177271199488. Its totient is φ = 25160558100480.

The previous prime is 96335769583853. The next prime is 96335769583961. The reversal of 96335769583872 is 27838596753369.

96335769583872 is a `hidden beast` number, since 9 + 6 + 3 + 3 + 576 + 9 + 5 + 8 + 38 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96335769583791 and 96335769583800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19364922 + ... + 23825862.

Almost surely, 2^{96335769583872} 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 96335769583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172588635599744).

96335769583872 is an abundant number, since it is smaller than the sum of its proper divisors (248841501615616).

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

96335769583872 is a wasteful number, since it uses less digits than its factorization.

96335769583872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461086 (or 4461069 counting only the distinct ones).

The product of its digits is 12345177600, while the sum is 81.

The spelling of 96335769583872 in words is "ninety-six trillion, three hundred thirty-five billion, seven hundred sixty-nine million, five hundred eighty-three thousand, eight hundred seventy-two".