99507878400 has 240 divisors, whose sum is σ = 375678794304. Its totient is φ = 22744596480.

The previous prime is 99507878399. The next prime is 99507878411. The reversal of 99507878400 is 487870599.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83704 + ... + 453896.

Almost surely, 2^99507878400 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 99507878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187839397152).

99507878400 is an abundant number, since it is smaller than the sum of its proper divisors (276170915904).

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

99507878400 is a wasteful number, since it uses less digits than its factorization.

99507878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370231 (or 370210 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 99507878400 in words is "ninety-nine billion, five hundred seven million, eight hundred seventy-eight thousand, four hundred".