117275680224 has 144 divisors (see below), whose sum is σ = 350727511680. Its totient is φ = 38541121920.

The previous prime is 117275680189. The next prime is 117275680261. The reversal of 117275680224 is 422086572711.

117275680224 is a `hidden beast` number, since 11 + 72 + 7 + 568 + 0 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 117275680224.

It is a congruent number.

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, 445887 + ... + 658305.

It is an arithmetic number, because the mean of its divisors is an integer number (2435607720).

Almost surely, 2^117275680224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117275680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175363755840).

117275680224 is an abundant number, since it is smaller than the sum of its proper divisors (233451831456).

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

117275680224 is an equidigital number, since it uses as much as digits as its factorization.

117275680224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212515 (or 212495 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 117275680224 in words is "one hundred seventeen billion, two hundred seventy-five million, six hundred eighty thousand, two hundred twenty-four".