117095362560 has 1456 divisors, whose sum is σ = 495051982848. Its totient is φ = 26276659200.

The previous prime is 117095362547. The next prime is 117095362577. The reversal of 117095362560 is 65263590711.

117095362560 is a `hidden beast` number, since 1 + 17 + 0 + 9 + 5 + 3 + 625 + 6 + 0 = 666.

It is a super-4 number, since 4×117095362560⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 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 111 ways as a sum of consecutive naturals, for example, 3777269745 + ... + 3777269775.

Almost surely, 2^117095362560 is an apocalyptic number.

117095362560 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 117095362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247525991424).

117095362560 is an abundant number, since it is smaller than the sum of its proper divisors (377956620288).

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

117095362560 is an equidigital number, since it uses as much as digits as its factorization.

117095362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 117095362560 in words is "one hundred seventeen billion, ninety-five million, three hundred sixty-two thousand, five hundred sixty".