115655823360 has 1248 divisors, whose sum is σ = 518887399680. Its totient is φ = 23121100800.

The previous prime is 115655823323. The next prime is 115655823407. The reversal of 115655823360 is 63328556511.

115655823360 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 5 + 582 + 3 + 3 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411586420 + ... + 411586700.

It is an arithmetic number, because the mean of its divisors is an integer number (415775160).

Almost surely, 2^115655823360 is an apocalyptic number.

115655823360 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 115655823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259443699840).

115655823360 is an abundant number, since it is smaller than the sum of its proper divisors (403231576320).

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

115655823360 is a wasteful number, since it uses less digits than its factorization.

115655823360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 115655823360 in words is "one hundred fifteen billion, six hundred fifty-five million, eight hundred twenty-three thousand, three hundred sixty".