117808380892800 has 4608 divisors, whose sum is σ = 516748468838400. Its totient is φ = 26085556224000.

The previous prime is 117808380892789. The next prime is 117808380892801. The reversal of 117808380892800 is 8298083808711.

117808380892800 is a `hidden beast` number, since 1 + 17 + 80 + 8 + 380 + 8 + 92 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (117808380892801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 927625046337 + ... + 927625046463.

It is an arithmetic number, because the mean of its divisors is an integer number (112141594800).

Almost surely, 2^{117808380892800} is an apocalyptic number.

117808380892800 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 117808380892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258374234419200).

117808380892800 is an abundant number, since it is smaller than the sum of its proper divisors (398940087945600).

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

117808380892800 is a wasteful number, since it uses less digits than its factorization.

117808380892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 63.

The spelling of 117808380892800 in words is "one hundred seventeen trillion, eight hundred eight billion, three hundred eighty million, eight hundred ninety-two thousand, eight hundred".