99645940800 has 2016 divisors, whose sum is σ = 462250414080. Its totient is φ = 20603289600.

The previous prime is 99645940783. The next prime is 99645940831. The reversal of 99645940800 is 804954699.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 2120126377 + ... + 2120126423.

It is an arithmetic number, because the mean of its divisors is an integer number (229290880).

Almost surely, 2^99645940800 is an apocalyptic number.

99645940800 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 99645940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231125207040).

99645940800 is an abundant number, since it is smaller than the sum of its proper divisors (362604473280).

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

99645940800 is a wasteful number, since it uses less digits than its factorization.

99645940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 99645940800 in words is "ninety-nine billion, six hundred forty-five million, nine hundred forty thousand, eight hundred".