99578116730400 has 1728 divisors, whose sum is σ = 418525210172160. Its totient is φ = 20117864448000.

The previous prime is 99578116730203. The next prime is 99578116730423. The reversal of 99578116730400 is 403761187599.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 26420299716 + ... + 26420303484.

It is an arithmetic number, because the mean of its divisors is an integer number (242202089220).

Almost surely, 2^{99578116730400} 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 99578116730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209262605086080).

99578116730400 is an abundant number, since it is smaller than the sum of its proper divisors (318947093441760).

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

99578116730400 is a wasteful number, since it uses less digits than its factorization.

99578116730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 99578116730400 in words is "ninety-nine trillion, five hundred seventy-eight billion, one hundred sixteen million, seven hundred thirty thousand, four hundred".