117873792000 has 440 divisors, whose sum is σ = 439327385640. Its totient is φ = 31430246400.

The previous prime is 117873791921. The next prime is 117873792013. The reversal of 117873792000 is 297378711.

117873792000 is a `hidden beast` number, since 1 + 1 + 78 + 7 + 379 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3554067456 + 114319724544 = 59616^2 + 338112^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10362316 + ... + 10373684.

It is an arithmetic number, because the mean of its divisors is an integer number (998471331).

Almost surely, 2^117873792000 is an apocalyptic number.

117873792000 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 117873792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219663692820).

117873792000 is an abundant number, since it is smaller than the sum of its proper divisors (321453593640).

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

117873792000 is an equidigital number, since it uses as much as digits as its factorization.

117873792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11416 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 117873792000 in words is "one hundred seventeen billion, eight hundred seventy-three million, seven hundred ninety-two thousand".