99918117842400 has 1440 divisors, whose sum is σ = 434117310713856. Its totient is φ = 22044234240000.

The previous prime is 99918117842399. The next prime is 99918117842489. The reversal of 99918117842400 is 424871181999.

99918117842400 is a `hidden beast` number, since 9 + 9 + 9 + 18 + 1 + 178 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 657838465 + ... + 657990335.

Almost surely, 2^{99918117842400} is an apocalyptic number.

99918117842400 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 99918117842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217058655356928).

99918117842400 is an abundant number, since it is smaller than the sum of its proper divisors (334199192871456).

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

99918117842400 is a wasteful number, since it uses less digits than its factorization.

99918117842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151998 (or 151976 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 99918117842400 in words is "ninety-nine trillion, nine hundred eighteen billion, one hundred seventeen million, eight hundred forty-two thousand, four hundred".