117415875600 has 135 divisors (see below), whose sum is σ = 407537063869. Its totient is φ = 31305417600.

The previous prime is 117415875529. The next prime is 117415875611. The reversal of 117415875600 is 6578514711.

The square root of 117415875600 is 342660.

It is a perfect power (a square), and thus also a powerful number.

117415875600 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 1 + 5 + 87 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42269715216 + 75146160384 = 205596^2 + 274128^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20556745 + ... + 20562455.

Almost surely, 2^117415875600 is an apocalyptic number.

117415875600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117415875600 is the 342660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117415875600

117415875600 is an abundant number, since it is smaller than the sum of its proper divisors (290121188269).

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

117415875600 is an frugal number, since it uses more digits than its factorization.

117415875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11446 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 117415875600 in words is "one hundred seventeen billion, four hundred fifteen million, eight hundred seventy-five thousand, six hundred".