117485195673600 has 1080 divisors, whose sum is σ = 425763092074320. Its totient is φ = 30965539799040.

The previous prime is 117485195673569. The next prime is 117485195673613. The reversal of 117485195673600 is 6376591584711.

117485195673600 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 8 + 5 + 1 + 9 + 567 + 3 + 60 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 178277990071 + ... + 178277990729.

It is an arithmetic number, because the mean of its divisors is an integer number (394225085254).

Almost surely, 2^{117485195673600} is an apocalyptic number.

117485195673600 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 117485195673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212881546037160).

117485195673600 is an abundant number, since it is smaller than the sum of its proper divisors (308277896400720).

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

117485195673600 is a wasteful number, since it uses less digits than its factorization.

117485195673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 117485195673600 in words is "one hundred seventeen trillion, four hundred eighty-five billion, one hundred ninety-five million, six hundred seventy-three thousand, six hundred".