99801398090160 has 960 divisors, whose sum is σ = 382309300638720. Its totient is φ = 23129130147840.

The previous prime is 99801398090101. The next prime is 99801398090171. The reversal of 99801398090160 is 6109089310899.

99801398090160 is a `hidden beast` number, since 9 + 9 + 80 + 1 + 398 + 0 + 9 + 0 + 160 = 666.

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, 26119181050 + ... + 26119184870.

It is an arithmetic number, because the mean of its divisors is an integer number (398238854832).

Almost surely, 2^{99801398090160} is an apocalyptic number.

99801398090160 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 99801398090160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191154650319360).

99801398090160 is an abundant number, since it is smaller than the sum of its proper divisors (282507902548560).

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

99801398090160 is a wasteful number, since it uses less digits than its factorization.

99801398090160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 99801398090160 in words is "ninety-nine trillion, eight hundred one billion, three hundred ninety-eight million, ninety thousand, one hundred sixty".