117086860800 has 2400 divisors, whose sum is σ = 572459735232. Its totient is φ = 22932357120.

The previous prime is 117086860799. The next prime is 117086860801. The reversal of 117086860800 is 8068680711.

It is an interprime number because it is at equal distance from previous prime (117086860799) and next prime (117086860801).

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117086860801) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 1603929564 + ... + 1603929636.

Almost surely, 2^117086860800 is an apocalyptic number.

117086860800 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 117086860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286229867616).

117086860800 is an abundant number, since it is smaller than the sum of its proper divisors (455372874432).

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

117086860800 is a wasteful number, since it uses less digits than its factorization.

117086860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 117086860800 in words is "one hundred seventeen billion, eighty-six million, eight hundred sixty thousand, eight hundred".