115580255616 has 288 divisors, whose sum is σ = 394727233680. Its totient is φ = 33021250560.

The previous prime is 115580255591. The next prime is 115580255617. The reversal of 115580255616 is 616552085511.

115580255616 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 8 + 0 + 25 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115580255617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5868826 + ... + 5888486.

Almost surely, 2^115580255616 is an apocalyptic number.

115580255616 is a gapful number since it is divisible by the number (16) 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 115580255616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197363616840).

115580255616 is an abundant number, since it is smaller than the sum of its proper divisors (279146978064).

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

115580255616 is an frugal number, since it uses more digits than its factorization.

115580255616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19706 (or 19673 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 115580255616 in words is "one hundred fifteen billion, five hundred eighty million, two hundred fifty-five thousand, six hundred sixteen".