96302813539968 has 1728 divisors, whose sum is σ = 356102144143200. Its totient is φ = 24873246720000.

The previous prime is 96302813539871. The next prime is 96302813539973. The reversal of 96302813539968 is 86993531820369.

96302813539968 is a `hidden beast` number, since 9 + 6 + 3 + 0 + 2 + 81 + 3 + 539 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 96302813539896 and 96302813539905.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 118745762283 + ... + 118745763093.

Almost surely, 2^{96302813539968} is an apocalyptic number.

96302813539968 is a gapful number since it is divisible by the number (98) 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 96302813539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178051072071600).

96302813539968 is an abundant number, since it is smaller than the sum of its proper divisors (259799330603232).

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

96302813539968 is a wasteful number, since it uses less digits than its factorization.

96302813539968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 96302813539968 in words is "ninety-six trillion, three hundred two billion, eight hundred thirteen million, five hundred thirty-nine thousand, nine hundred sixty-eight".