117115315200 has 792 divisors, whose sum is σ = 459703321896. Its totient is φ = 28311552000.

The previous prime is 117115315189. The next prime is 117115315201. The reversal of 117115315200 is 2513511711.

117115315200 is a `hidden beast` number, since 11 + 71 + 1 + 531 + 52 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 60021080064 + 57094235136 = 244992^2 + 238944^2 .

It is not an unprimeable number, because it can be changed into a prime (117115315201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 182706880 + ... + 182707520.

Almost surely, 2^117115315200 is an apocalyptic number.

117115315200 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 117115315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229851660948).

117115315200 is an abundant number, since it is smaller than the sum of its proper divisors (342588006696).

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

117115315200 is a wasteful number, since it uses less digits than its factorization.

117115315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

Adding to 117115315200 its reverse (2513511711), we get a palindrome (119628826911).

The spelling of 117115315200 in words is "one hundred seventeen billion, one hundred fifteen million, three hundred fifteen thousand, two hundred".