117301766400 has 1944 divisors, whose sum is σ = 552164034240. Its totient is φ = 23503011840.

The previous prime is 117301766381. The next prime is 117301766431. The reversal of 117301766400 is 4667103711.

117301766400 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 0 + 1 + 7 + 6 + 640 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 843897531 + ... + 843897669.

Almost surely, 2^117301766400 is an apocalyptic number.

117301766400 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 117301766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276082017120).

117301766400 is an abundant number, since it is smaller than the sum of its proper divisors (434862267840).

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

117301766400 is a wasteful number, since it uses less digits than its factorization.

117301766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 117301766400 in words is "one hundred seventeen billion, three hundred one million, seven hundred sixty-six thousand, four hundred".