117868953600 has 576 divisors, whose sum is σ = 439066150200. Its totient is φ = 31001149440.

The previous prime is 117868953581. The next prime is 117868953617. The reversal of 117868953600 is 6359868711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

117868953600 is a `hidden beast` number, since 117 + 86 + 8 + 95 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1614643164 + ... + 1614643236.

Almost surely, 2^117868953600 is an apocalyptic number.

117868953600 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 117868953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219533075100).

117868953600 is an abundant number, since it is smaller than the sum of its proper divisors (321197196600).

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

117868953600 is an frugal number, since it uses more digits than its factorization.

117868953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

Multiplying 117868953600 by its sum of digits (54), we get a square (6364923494400 = 2522880²).

117868953600 divided by its sum of digits (54) gives a square (2182758400 = 46720²).

The spelling of 117868953600 in words is "one hundred seventeen billion, eight hundred sixty-eight million, nine hundred fifty-three thousand, six hundred".