99998509201920 has 4800 divisors, whose sum is σ = 456473360977920. Its totient is φ = 20791191601152.

The previous prime is 99998509201837. The next prime is 99998509201993. The reversal of 99998509201920 is 2910290589999.

99998509201920 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 8 + 509 + 20 + 1 + 92 + 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 479 ways as a sum of consecutive naturals, for example, 934565506507 + ... + 934565506613.

Almost surely, 2^{99998509201920} is an apocalyptic number.

99998509201920 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 99998509201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228236680488960).

99998509201920 is an abundant number, since it is smaller than the sum of its proper divisors (356474851776000).

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

99998509201920 is a wasteful number, since it uses less digits than its factorization.

99998509201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 85030560, while the sum is 72.

The spelling of 99998509201920 in words is "ninety-nine trillion, nine hundred ninety-eight billion, five hundred nine million, two hundred one thousand, nine hundred twenty".