116565166080 has 432 divisors, whose sum is σ = 444101914620. Its totient is φ = 28255518720.

The previous prime is 116565166033. The next prime is 116565166087. The reversal of 116565166080 is 80661565611.

116565166080 is a `hidden beast` number, since 1 + 1 + 6 + 56 + 516 + 6 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109248758784 + 7316407296 = 330528^2 + 85536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (116565166087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11146134 + ... + 11156586.

Almost surely, 2^116565166080 is an apocalyptic number.

116565166080 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 116565166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222050957310).

116565166080 is an abundant number, since it is smaller than the sum of its proper divisors (327536748540).

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

116565166080 is a wasteful number, since it uses less digits than its factorization.

116565166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10508 (or 10474 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 116565166080 in words is "one hundred sixteen billion, five hundred sixty-five million, one hundred sixty-six thousand, eighty".