117859200 has 96 divisors (see below), whose sum is σ = 388230360. Its totient is φ = 31426560.

The previous prime is 117859187. The next prime is 117859213. The reversal of 117859200 is 2958711.

117859200 = T₄₈₇ + T₄₈₈ + ... + T₉₃₆.

It is an interprime number because it is at equal distance from previous prime (117859187) and next prime (117859213).

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3462 + ... + 15738.

Almost surely, 2^117859200 is an apocalyptic number.

117859200 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 117859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194115180).

117859200 is an abundant number, since it is smaller than the sum of its proper divisors (270371160).

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

117859200 is a wasteful number, since it uses less digits than its factorization.

117859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12304 (or 12287 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 117859200 is about 10856.2977114668. The cubic root of 117859200 is about 490.2916492268.

It can be divided in two parts, 1178 and 59200, that added together give a triangular number (60378 = T₃₄₇).

The spelling of 117859200 in words is "one hundred seventeen million, eight hundred fifty-nine thousand, two hundred".