115152432192000 has 640 divisors, whose sum is σ = 486162652884480. Its totient is φ = 26320553164800.

The previous prime is 115152432191987. The next prime is 115152432192019. The reversal of 115152432192000 is 291234251511.

115152432192000 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 5 + 2 + 432 + 19 + 200 + 0 = 666.

115152432192000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7336062 + ... + 16855938.

It is an arithmetic number, because the mean of its divisors is an integer number (759629145132).

Almost surely, 2^{115152432192000} is an apocalyptic number.

115152432192000 is a gapful number since it is divisible by the number (10) 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 115152432192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243081326442240).

115152432192000 is an abundant number, since it is smaller than the sum of its proper divisors (371010220692480).

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

115152432192000 is an frugal number, since it uses more digits than its factorization.

115152432192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519926 (or 9519894 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 115152432192000 in words is "one hundred fifteen trillion, one hundred fifty-two billion, four hundred thirty-two million, one hundred ninety-two thousand".