99618361920 has 2240 divisors, whose sum is σ = 484348170240. Its totient is φ = 18811699200.

The previous prime is 99618361919. The next prime is 99618361943. The reversal of 99618361920 is 2916381699.

99618361920 is a `hidden beast` number, since 9 + 9 + 6 + 18 + 3 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1403075485 + ... + 1403075555.

Almost surely, 2^99618361920 is an apocalyptic number.

99618361920 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 99618361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242174085120).

99618361920 is an abundant number, since it is smaller than the sum of its proper divisors (384729808320).

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

99618361920 is a wasteful number, since it uses less digits than its factorization.

99618361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 99618361920 in words is "ninety-nine billion, six hundred eighteen million, three hundred sixty-one thousand, nine hundred twenty".