99950512320 has 672 divisors, whose sum is σ = 373448275200. Its totient is φ = 24457863168.

The previous prime is 99950512313. The next prime is 99950512349. The reversal of 99950512320 is 2321505999.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267963654 + ... + 267964026.

It is an arithmetic number, because the mean of its divisors is an integer number (555726600).

Almost surely, 2^99950512320 is an apocalyptic number.

99950512320 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 99950512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186724137600).

99950512320 is an abundant number, since it is smaller than the sum of its proper divisors (273497762880).

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

99950512320 is a wasteful number, since it uses less digits than its factorization.

99950512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 99950512320 in words is "ninety-nine billion, nine hundred fifty million, five hundred twelve thousand, three hundred twenty".