99935949960 has 1280 divisors, whose sum is σ = 456648192000. Its totient is φ = 18968463360.

The previous prime is 99935949959. The next prime is 99935949973. The reversal of 99935949960 is 6994953999.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 137463117 + ... + 137463843.

It is an arithmetic number, because the mean of its divisors is an integer number (356756400).

Almost surely, 2^99935949960 is an apocalyptic number.

99935949960 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 99935949960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228324096000).

99935949960 is an abundant number, since it is smaller than the sum of its proper divisors (356712242040).

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

99935949960 is a wasteful number, since it uses less digits than its factorization.

99935949960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 191318760, while the sum is 72.

The spelling of 99935949960 in words is "ninety-nine billion, nine hundred thirty-five million, nine hundred forty-nine thousand, nine hundred sixty".