99020620800 has 990 divisors, whose sum is σ = 395693357598. Its totient is φ = 24383324160.

The previous prime is 99020620781. The next prime is 99020620927. The reversal of 99020620800 is 802602099.

99020620800 is a `hidden beast` number, since 9 + 9 + 0 + 20 + 620 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 2453815296 + 96566805504 = 49536^2 + 310752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1868313574 + ... + 1868313626.

Almost surely, 2^99020620800 is an apocalyptic number.

99020620800 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 99020620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197846678799).

99020620800 is an abundant number, since it is smaller than the sum of its proper divisors (296672736798).

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

99020620800 is a wasteful number, since it uses less digits than its factorization.

99020620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 99020620800 in words is "ninety-nine billion, twenty million, six hundred twenty thousand, eight hundred".