99989164800 has 1080 divisors, whose sum is σ = 429507804880. Its totient is φ = 22759833600.

The previous prime is 99989164771. The next prime is 99989164819. The reversal of 99989164800 is 846198999.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 414892680 + ... + 414892920.

Almost surely, 2^99989164800 is an apocalyptic number.

99989164800 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 99989164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214753902440).

99989164800 is an abundant number, since it is smaller than the sum of its proper divisors (329518640080).

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

99989164800 is an equidigital number, since it uses as much as digits as its factorization.

99989164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 99989164800 in words is "ninety-nine billion, nine hundred eighty-nine million, one hundred sixty-four thousand, eight hundred".