117257160006 has 128 divisors (see below), whose sum is σ = 313889817600. Its totient is φ = 31696220160.

The previous prime is 117257160001. The next prime is 117257160011. The reversal of 117257160006 is 600061752711.

117257160006 is a `hidden beast` number, since 11 + 72 + 571 + 6 + 0 + 0 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (117257160001) and next prime (117257160011).

It is a super-3 number, since 3×117257160006³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117257160001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5541126 + ... + 5562246.

It is an arithmetic number, because the mean of its divisors is an integer number (2452264200).

Almost surely, 2^117257160006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117257160006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156944908800).

117257160006 is an abundant number, since it is smaller than the sum of its proper divisors (196632657594).

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

117257160006 is a wasteful number, since it uses less digits than its factorization.

117257160006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21931 (or 21925 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 117257160006 in words is "one hundred seventeen billion, two hundred fifty-seven million, one hundred sixty thousand, six".