117582345792000 has 3840 divisors, whose sum is σ = 499498694323200. Its totient is φ = 27177202483200.

The previous prime is 117582345791947. The next prime is 117582345792013. The reversal of 117582345792000 is 297543285711.

117582345792000 is a `hidden beast` number, since 1 + 1 + 7 + 582 + 3 + 4 + 57 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 333094463824 + ... + 333094464176.

It is an arithmetic number, because the mean of its divisors is an integer number (130077784980).

Almost surely, 2^{117582345792000} is an apocalyptic number.

117582345792000 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 117582345792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249749347161600).

117582345792000 is an abundant number, since it is smaller than the sum of its proper divisors (381916348531200).

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

117582345792000 is a wasteful number, since it uses less digits than its factorization.

117582345792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 117582345792000 in words is "one hundred seventeen trillion, five hundred eighty-two billion, three hundred forty-five million, seven hundred ninety-two thousand".