116517005640 has 192 divisors, whose sum is σ = 433374739200. Its totient is φ = 26595703296.

The previous prime is 116517005617. The next prime is 116517005711. The reversal of 116517005640 is 46500715611.

It is a happy number.

116517005640 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 1 + 7 + 0 + 0 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116517005595 and 116517005604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1815621 + ... + 1878699.

It is an arithmetic number, because the mean of its divisors is an integer number (2257160100).

Almost surely, 2^116517005640 is an apocalyptic number.

116517005640 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 116517005640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216687369600).

116517005640 is an abundant number, since it is smaller than the sum of its proper divisors (316857733560).

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

116517005640 is a wasteful number, since it uses less digits than its factorization.

116517005640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63836 (or 63829 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 116517005640 in words is "one hundred sixteen billion, five hundred seventeen million, five thousand, six hundred forty".