99878032800 has 2304 divisors, whose sum is σ = 488218752000. Its totient is φ = 19508428800.

The previous prime is 99878032799. The next prime is 99878032829. The reversal of 99878032800 is 823087899.

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 383 ways as a sum of consecutive naturals, for example, 1637344770 + ... + 1637344830.

It is an arithmetic number, because the mean of its divisors is an integer number (211900500).

Almost surely, 2^99878032800 is an apocalyptic number.

99878032800 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 99878032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244109376000).

99878032800 is an abundant number, since it is smaller than the sum of its proper divisors (388340719200).

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

99878032800 is a wasteful number, since it uses less digits than its factorization.

99878032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 99878032800 in words is "ninety-nine billion, eight hundred seventy-eight million, thirty-two thousand, eight hundred".