115784847360 has 1560 divisors, whose sum is σ = 522355141440. Its totient is φ = 24015273984.

The previous prime is 115784847359. The next prime is 115784847361. The reversal of 115784847360 is 63748487511.

115784847360 is a `hidden beast` number, since 1 + 1 + 5 + 78 + 48 + 473 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (115784847359) and next prime (115784847361).

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-2 number, since 2×115784847360² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 115784847297 and 115784847306.

It is not an unprimeable number, because it can be changed into a prime (115784847361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1962455011 + ... + 1962455069.

Almost surely, 2^115784847360 is an apocalyptic number.

115784847360 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 115784847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261177570720).

115784847360 is an abundant number, since it is smaller than the sum of its proper divisors (406570294080).

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

115784847360 is an equidigital number, since it uses as much as digits as its factorization.

115784847360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 115784847360 in words is "one hundred fifteen billion, seven hundred eighty-four million, eight hundred forty-seven thousand, three hundred sixty".