99990616320 has 1152 divisors, whose sum is σ = 440585671680. Its totient is φ = 20950548480.

The previous prime is 99990616273. The next prime is 99990616321. The reversal of 99990616320 is 2361609999.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (99990616321) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 168617944 + ... + 168618536.

It is an arithmetic number, because the mean of its divisors is an integer number (382452840).

Almost surely, 2^99990616320 is an apocalyptic number.

99990616320 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 99990616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220292835840).

99990616320 is an abundant number, since it is smaller than the sum of its proper divisors (340595055360).

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

99990616320 is a wasteful number, since it uses less digits than its factorization.

99990616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 99990616320 in words is "ninety-nine billion, nine hundred ninety million, six hundred sixteen thousand, three hundred twenty".