116581576440 has 256 divisors, whose sum is σ = 415051776000. Its totient is φ = 25631262720.

The previous prime is 116581576399. The next prime is 116581576451. The reversal of 116581576440 is 44675185611.

It is a self number, because there is not a number n which added to its sum of digits gives 116581576440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6543945 + ... + 6561735.

It is an arithmetic number, because the mean of its divisors is an integer number (1621296000).

Almost surely, 2^116581576440 is an apocalyptic number.

116581576440 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 116581576440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207525888000).

116581576440 is an abundant number, since it is smaller than the sum of its proper divisors (298470199560).

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

116581576440 is a wasteful number, since it uses less digits than its factorization.

116581576440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18110 (or 18106 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 116581576440 in words is "one hundred sixteen billion, five hundred eighty-one million, five hundred seventy-six thousand, four hundred forty".