117416738275200 has 1728 divisors, whose sum is σ = 528880718686320. Its totient is φ = 24584026521600.

The previous prime is 117416738275181. The next prime is 117416738275219. The reversal of 117416738275200 is 2572837614711.

117416738275200 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 1 + 67 + 38 + 27 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117416738275181) and next prime (117416738275219).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2403249172 + ... + 2403298028.

Almost surely, 2^{117416738275200} is an apocalyptic number.

117416738275200 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 117416738275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264440359343160).

117416738275200 is an abundant number, since it is smaller than the sum of its proper divisors (411463980411120).

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

117416738275200 is a wasteful number, since it uses less digits than its factorization.

117416738275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49045 (or 49018 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 117416738275200 in words is "one hundred seventeen trillion, four hundred sixteen billion, seven hundred thirty-eight million, two hundred seventy-five thousand, two hundred".