99332744325120 has 1152 divisors, whose sum is σ = 375964345411200. Its totient is φ = 24872434532352.

The previous prime is 99332744325107. The next prime is 99332744325163. The reversal of 99332744325120 is 2152344723399.

99332744325120 is a `hidden beast` number, since 9 + 9 + 3 + 327 + 4 + 43 + 251 + 20 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41789121372 + ... + 41789123748.

It is an arithmetic number, because the mean of its divisors is an integer number (326357938725).

Almost surely, 2^{99332744325120} is an apocalyptic number.

99332744325120 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 99332744325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187982172705600).

99332744325120 is an abundant number, since it is smaller than the sum of its proper divisors (276631601086080).

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

99332744325120 is a wasteful number, since it uses less digits than its factorization.

99332744325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 99332744325120 in words is "ninety-nine trillion, three hundred thirty-two billion, seven hundred forty-four million, three hundred twenty-five thousand, one hundred twenty".