115565598720 has 1536 divisors, whose sum is σ = 501935616000. Its totient is φ = 24843386880.

The previous prime is 115565598703. The next prime is 115565598721. The reversal of 115565598720 is 27895565511.

115565598720 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 6 + 559 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115565598721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1462855641 + ... + 1462855719.

It is an arithmetic number, because the mean of its divisors is an integer number (326781000).

Almost surely, 2^115565598720 is an apocalyptic number.

115565598720 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 115565598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808000).

115565598720 is an abundant number, since it is smaller than the sum of its proper divisors (386370017280).

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

115565598720 is a wasteful number, since it uses less digits than its factorization.

115565598720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 54.

The spelling of 115565598720 in words is "one hundred fifteen billion, five hundred sixty-five million, five hundred ninety-eight thousand, seven hundred twenty".