117864502600 has 96 divisors (see below), whose sum is σ = 295378047720. Its totient is φ = 43480350720.

The previous prime is 117864502583. The next prime is 117864502601. The reversal of 117864502600 is 6205468711.

It can be written as a sum of positive squares in 12 ways, for example, as 17435089764 + 100429412836 = 132042^2 + 316906^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (117864502601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2978142 + ... + 3017458.

Almost surely, 2^117864502600 is an apocalyptic number.

117864502600 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 117864502600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147689023860).

117864502600 is an abundant number, since it is smaller than the sum of its proper divisors (177513545120).

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

117864502600 is a wasteful number, since it uses less digits than its factorization.

117864502600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40499 (or 40490 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 117864502600 in words is "one hundred seventeen billion, eight hundred sixty-four million, five hundred two thousand, six hundred".