99852296400 has 240 divisors, whose sum is σ = 359791019520. Its totient is φ = 26627045760.

The previous prime is 99852296363. The next prime is 99852296417. The reversal of 99852296400 is 469225899.

It is a happy number.

99852296400 is a `hidden beast` number, since 9 + 9 + 8 + 5 + 229 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 817729 + ... + 931871.

It is an arithmetic number, because the mean of its divisors is an integer number (1499129248).

Almost surely, 2^99852296400 is an apocalyptic number.

99852296400 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 99852296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179895509760).

99852296400 is an abundant number, since it is smaller than the sum of its proper divisors (259938723120).

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

99852296400 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (99852296399) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (114182).

99852296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114182 (or 114153 counting only the distinct ones).

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

The spelling of 99852296400 in words is "ninety-nine billion, eight hundred fifty-two million, two hundred ninety-six thousand, four hundred".