117635546410560 has 896 divisors, whose sum is σ = 427444502284800. Its totient is φ = 30442810245120.

The previous prime is 117635546410559. The next prime is 117635546410607. The reversal of 117635546410560 is 65014645536711.

117635546410560 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 3 + 5 + 5 + 4 + 64 + 10 + 560 = 666.

It is a super-2 number, since 2×117635546410560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 117635546410497 and 117635546410506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17885893992 + ... + 17885900568.

It is an arithmetic number, because the mean of its divisors is an integer number (477058596300).

Almost surely, 2^{117635546410560} is an apocalyptic number.

117635546410560 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 117635546410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213722251142400).

117635546410560 is an abundant number, since it is smaller than the sum of its proper divisors (309808955874240).

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

117635546410560 is a wasteful number, since it uses less digits than its factorization.

117635546410560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 117635546410560 in words is "one hundred seventeen trillion, six hundred thirty-five billion, five hundred forty-six million, four hundred ten thousand, five hundred sixty".