117902847661200 has 960 divisors, whose sum is σ = 509306554675200. Its totient is φ = 25304870707200.

The previous prime is 117902847661153. The next prime is 117902847661243. The reversal of 117902847661200 is 2166748209711.

117902847661200 is a `hidden beast` number, since 1 + 1 + 7 + 90 + 2 + 8 + 476 + 61 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161950005 + ... + 162676395.

It is an arithmetic number, because the mean of its divisors is an integer number (530527661120).

Almost surely, 2^{117902847661200} is an apocalyptic number.

117902847661200 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 117902847661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254653277337600).

117902847661200 is an abundant number, since it is smaller than the sum of its proper divisors (391403707014000).

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

117902847661200 is a wasteful number, since it uses less digits than its factorization.

117902847661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726557 (or 726540 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 117902847661200 in words is "one hundred seventeen trillion, nine hundred two billion, eight hundred forty-seven million, six hundred sixty-one thousand, two hundred".