96599037902400 has 2016 divisors, whose sum is σ = 419053584568320. Its totient is φ = 20800364544000.

The previous prime is 96599037902221. The next prime is 96599037902413. The reversal of 96599037902400 is 420973099569.

96599037902400 is a `hidden beast` number, since 9 + 6 + 59 + 90 + 3 + 7 + 90 + 2 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13865223717 + ... + 13865230683.

Almost surely, 2^{96599037902400} is an apocalyptic number.

96599037902400 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 96599037902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209526792284160).

96599037902400 is an abundant number, since it is smaller than the sum of its proper divisors (322454546665920).

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

96599037902400 is a wasteful number, since it uses less digits than its factorization.

96599037902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 96599037902400 in words is "ninety-six trillion, five hundred ninety-nine billion, thirty-seven million, nine hundred two thousand, four hundred".