117155404800 has 792 divisors, whose sum is σ = 507714888096. Its totient is φ = 25197281280.

The previous prime is 117155404763. The next prime is 117155404801. The reversal of 117155404800 is 8404551711.

117155404800 is a `hidden beast` number, since 1 + 1 + 71 + 5 + 540 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117155404801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27415464 + ... + 27419736.

Almost surely, 2^117155404800 is an apocalyptic number.

117155404800 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 117155404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253857444048).

117155404800 is an abundant number, since it is smaller than the sum of its proper divisors (390559483296).

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

117155404800 is a wasteful number, since it uses less digits than its factorization.

117155404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 117155404800 in words is "one hundred seventeen billion, one hundred fifty-five million, four hundred four thousand, eight hundred".