99555209395200 has 1320 divisors, whose sum is σ = 397419315910848. Its totient is φ = 24479919636480.

The previous prime is 99555209395183. The next prime is 99555209395217. The reversal of 99555209395200 is 259390255599.

99555209395200 is a `hidden beast` number, since 9 + 9 + 5 + 55 + 20 + 9 + 39 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99555209395183) and next prime (99555209395217).

It is a super-2 number, since 2×99555209395200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42672613234 + ... + 42672615566.

Almost surely, 2^{99555209395200} is an apocalyptic number.

99555209395200 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 99555209395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198709657955424).

99555209395200 is an abundant number, since it is smaller than the sum of its proper divisors (297864106515648).

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

99555209395200 is a wasteful number, since it uses less digits than its factorization.

99555209395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 49207500, while the sum is 63.

The spelling of 99555209395200 in words is "ninety-nine trillion, five hundred fifty-five billion, two hundred nine million, three hundred ninety-five thousand, two hundred".