117310321800 has 576 divisors, whose sum is σ = 461876688000. Its totient is φ = 26671680000.

The previous prime is 117310321787. The next prime is 117310321811. The reversal of 117310321800 is 8123013711.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 154967022 + ... + 154967778.

It is an arithmetic number, because the mean of its divisors is an integer number (801869250).

Almost surely, 2^117310321800 is an apocalyptic number.

117310321800 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 117310321800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230938344000).

117310321800 is an abundant number, since it is smaller than the sum of its proper divisors (344566366200).

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

117310321800 is a wasteful number, since it uses less digits than its factorization.

117310321800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 117310321800 in words is "one hundred seventeen billion, three hundred ten million, three hundred twenty-one thousand, eight hundred".