99078488213760 has 1728 divisors, whose sum is σ = 403990994534400. Its totient is φ = 22168579276800.

The previous prime is 99078488213711. The next prime is 99078488213801. The reversal of 99078488213760 is 6731288487099.

99078488213760 is a `hidden beast` number, since 9 + 9 + 0 + 7 + 8 + 488 + 2 + 137 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35146677631 + ... + 35146680449.

It is an arithmetic number, because the mean of its divisors is an integer number (233791084800).

Almost surely, 2^{99078488213760} is an apocalyptic number.

99078488213760 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 99078488213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201995497267200).

99078488213760 is an abundant number, since it is smaller than the sum of its proper divisors (304912506320640).

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

99078488213760 is a wasteful number, since it uses less digits than its factorization.

99078488213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 99078488213760 in words is "ninety-nine trillion, seventy-eight billion, four hundred eighty-eight million, two hundred thirteen thousand, seven hundred sixty".