99807946200 has 192 divisors, whose sum is σ = 361877136000. Its totient is φ = 25214613120.

The previous prime is 99807946171. The next prime is 99807946201. The reversal of 99807946200 is 264970899.

99807946200 is a `hidden beast` number, since 9 + 9 + 8 + 0 + 7 + 9 + 4 + 620 + 0 = 666.

It is a super-2 number, since 2×99807946200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99807946201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383794 + ... + 588993.

It is an arithmetic number, because the mean of its divisors is an integer number (1884776750).

Almost surely, 2^99807946200 is an apocalyptic number.

99807946200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99807946200 is an abundant number, since it is smaller than the sum of its proper divisors (262069189800).

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

99807946200 is a wasteful number, since it uses less digits than its factorization.

99807946200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972831 (or 972816 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 99807946200 in words is "ninety-nine billion, eight hundred seven million, nine hundred forty-six thousand, two hundred".