96308235878400 has 5400 divisors, whose sum is σ = 463971048230144. Its totient is φ = 19664496230400.

The previous prime is 96308235878399. The next prime is 96308235878401. The reversal of 96308235878400 is 487853280369.

96308235878400 is a `hidden beast` number, since 9 + 6 + 3 + 0 + 8 + 2 + 3 + 587 + 8 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96308235878399) and next prime (96308235878401).

It is a tau number, because it is divible by the number of its divisors (5400).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (96308235878401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3106717286385 + ... + 3106717286415.

Almost surely, 2^{96308235878400} is an apocalyptic number.

96308235878400 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 96308235878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231985524115072).

96308235878400 is an abundant number, since it is smaller than the sum of its proper divisors (367662812351744).

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

96308235878400 is an frugal number, since it uses more digits than its factorization.

96308235878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 96308235878400 in words is "ninety-six trillion, three hundred eight billion, two hundred thirty-five million, eight hundred seventy-eight thousand, four hundred".