99379526400 has 1944 divisors, whose sum is σ = 470755234320. Its totient is φ = 20437401600.

The previous prime is 99379526387. The next prime is 99379526437. The reversal of 99379526400 is 462597399.

99379526400 is a `hidden beast` number, since 9 + 9 + 3 + 79 + 526 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1024531152 + ... + 1024531248.

Almost surely, 2^99379526400 is an apocalyptic number.

99379526400 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 99379526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235377617160).

99379526400 is an abundant number, since it is smaller than the sum of its proper divisors (371375707920).

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

99379526400 is a wasteful number, since it uses less digits than its factorization.

99379526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 99379526400 in words is "ninety-nine billion, three hundred seventy-nine million, five hundred twenty-six thousand, four hundred".