99918577800 has 576 divisors, whose sum is σ = 371281482000. Its totient is φ = 23967498240.

The previous prime is 99918577777. The next prime is 99918577831. The reversal of 99918577800 is 877581999.

It is a Cunningham number, because it is equal to 316099²-1.

It can be written as a sum of positive squares in 24 ways, for example, as 16500430116 + 83418147684 = 128454^2 + 288822^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96726084 + ... + 96727116.

Almost surely, 2^99918577800 is an apocalyptic number.

99918577800 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 99918577800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185640741000).

99918577800 is an abundant number, since it is smaller than the sum of its proper divisors (271362904200).

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

99918577800 is a wasteful number, since it uses less digits than its factorization.

99918577800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 63.

The spelling of 99918577800 in words is "ninety-nine billion, nine hundred eighteen million, five hundred seventy-seven thousand, eight hundred".