99879990210 has 1536 divisors, whose sum is σ = 398529331200. Its totient is φ = 16669255680.

The previous prime is 99879990193. The next prime is 99879990227. The reversal of 99879990210 is 1209997899.

99879990210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (99879990193) and next prime (99879990227).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1692881161 + ... + 1692881219.

It is an arithmetic number, because the mean of its divisors is an integer number (259459200).

Almost surely, 2^99879990210 is an apocalyptic number.

99879990210 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99879990210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199264665600).

99879990210 is an abundant number, since it is smaller than the sum of its proper divisors (298649340990).

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

99879990210 is a wasteful number, since it uses less digits than its factorization.

99879990210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 63.

The spelling of 99879990210 in words is "ninety-nine billion, eight hundred seventy-nine million, nine hundred ninety thousand, two hundred ten".