117174917571200 has 576 divisors, whose sum is σ = 308006840363040. Its totient is φ = 44039531520000.

The previous prime is 117174917571157. The next prime is 117174917571209. The reversal of 117174917571200 is 2175719471711.

It is a super-2 number, since 2×117174917571200² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (117174917571209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144482018795 + ... + 144482019605.

Almost surely, 2^{117174917571200} is an apocalyptic number.

117174917571200 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 117174917571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154003420181520).

117174917571200 is an abundant number, since it is smaller than the sum of its proper divisors (190831922791840).

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

117174917571200 is a wasteful number, since it uses less digits than its factorization.

117174917571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 864360, while the sum is 53.

The spelling of 117174917571200 in words is "one hundred seventeen trillion, one hundred seventy-four billion, nine hundred seventeen million, five hundred seventy-one thousand, two hundred".