117172735710 has 256 divisors, whose sum is σ = 316912435200. Its totient is φ = 27584561664.

The previous prime is 117172735703. The next prime is 117172735717. The reversal of 117172735710 is 17537271711.

It is an interprime number because it is at equal distance from previous prime (117172735703) and next prime (117172735717).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117172735717) 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 127 ways as a sum of consecutive naturals, for example, 244619251 + ... + 244619729.

It is an arithmetic number, because the mean of its divisors is an integer number (1237939200).

Almost surely, 2^117172735710 is an apocalyptic number.

117172735710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117172735710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158456217600).

117172735710 is an abundant number, since it is smaller than the sum of its proper divisors (199739699490).

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

117172735710 is a wasteful number, since it uses less digits than its factorization.

117172735710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975.

The product of its (nonzero) digits is 72030, while the sum is 42.

The spelling of 117172735710 in words is "one hundred seventeen billion, one hundred seventy-two million, seven hundred thirty-five thousand, seven hundred ten".