117752617644800 has 216 divisors, whose sum is σ = 301752249901200. Its totient is φ = 45439781847040.

The previous prime is 117752617644791. The next prime is 117752617644821. The reversal of 117752617644800 is 8446716257711.

It is a self number, because there is not a number n which added to its sum of digits gives 117752617644800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227844287 + ... + 228360513.

It is an arithmetic number, because the mean of its divisors is an integer number (1397001156950).

Almost surely, 2^{117752617644800} is an apocalyptic number.

117752617644800 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 117752617644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150876124950600).

117752617644800 is an abundant number, since it is smaller than the sum of its proper divisors (183999632256400).

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

117752617644800 is a wasteful number, since it uses less digits than its factorization.

117752617644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517511 (or 517492 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 59.

The spelling of 117752617644800 in words is "one hundred seventeen trillion, seven hundred fifty-two billion, six hundred seventeen million, six hundred forty-four thousand, eight hundred".