99178362961920 has 1440 divisors, whose sum is σ = 385439443131600. Its totient is φ = 23395659939840.

The previous prime is 99178362961907. The next prime is 99178362961949. The reversal of 99178362961920 is 2916926387199.

99178362961920 is a `hidden beast` number, since 9 + 9 + 1 + 78 + 362 + 9 + 6 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 573285334954 + ... + 573285335126.

Almost surely, 2^{99178362961920} is an apocalyptic number.

99178362961920 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 99178362961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192719721565800).

99178362961920 is an abundant number, since it is smaller than the sum of its proper divisors (286261080169680).

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

99178362961920 is an equidigital number, since it uses as much as digits as its factorization.

99178362961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 99178362961920 in words is "ninety-nine trillion, one hundred seventy-eight billion, three hundred sixty-two million, nine hundred sixty-one thousand, nine hundred twenty".