99882854400 has 864 divisors, whose sum is σ = 401503677120. Its totient is φ = 21799895040.

The previous prime is 99882854381. The next prime is 99882854431. The reversal of 99882854400 is 445828899.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 173106912 + ... + 173107488.

It is an arithmetic number, because the mean of its divisors is an integer number (464703330).

Almost surely, 2^99882854400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99882854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200751838560).

99882854400 is an abundant number, since it is smaller than the sum of its proper divisors (301620822720).

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

99882854400 is a wasteful number, since it uses less digits than its factorization.

99882854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

It can be divided in two parts, 9988285 and 4400, that added together give a triangular number (9992685 = T₄₄₇₀).

The spelling of 99882854400 in words is "ninety-nine billion, eight hundred eighty-two million, eight hundred fifty-four thousand, four hundred".