117171591719200 has 144 divisors (see below), whose sum is σ = 286577828095104. Its totient is φ = 46781378150400.

The previous prime is 117171591719131. The next prime is 117171591719201. The reversal of 117171591719200 is 2917195171711.

It is not an unprimeable number, because it can be changed into a prime (117171591719201) 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, 5837845165 + ... + 5837865235.

It is an arithmetic number, because the mean of its divisors is an integer number (1990123806216).

Almost surely, 2^{117171591719200} is an apocalyptic number.

117171591719200 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 117171591719200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143288914047552).

117171591719200 is an abundant number, since it is smaller than the sum of its proper divisors (169406236375904).

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

117171591719200 is a wasteful number, since it uses less digits than its factorization.

117171591719200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33315 (or 33302 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 52.

The spelling of 117171591719200 in words is "one hundred seventeen trillion, one hundred seventy-one billion, five hundred ninety-one million, seven hundred nineteen thousand, two hundred".