115819618320 has 360 divisors, whose sum is σ = 467064748800. Its totient is φ = 25618844160.

The previous prime is 115819618319. The next prime is 115819618333. The reversal of 115819618320 is 23816918511.

115819618320 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 1 + 9 + 618 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1040731 + ... + 1146629.

It is an arithmetic number, because the mean of its divisors is an integer number (1297402080).

Almost surely, 2^115819618320 is an apocalyptic number.

115819618320 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 115819618320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233532374400).

115819618320 is an abundant number, since it is smaller than the sum of its proper divisors (351245130480).

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

115819618320 is a wasteful number, since it uses less digits than its factorization.

115819618320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105963 (or 105947 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 115819618320 in words is "one hundred fifteen billion, eight hundred nineteen million, six hundred eighteen thousand, three hundred twenty".