115583061404160 has 1200 divisors, whose sum is σ = 498178066917960. Its totient is φ = 25507920936960.

The previous prime is 115583061404143. The next prime is 115583061404201. The reversal of 115583061404160 is 61404160385511.

115583061404160 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 83 + 0 + 6 + 1 + 404 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65239609026816 + 50343452377344 = 8077104^2 + 7095312^2 .

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 294462430 + ... + 294854690.

Almost surely, 2^{115583061404160} is an apocalyptic number.

115583061404160 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 115583061404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249089033458980).

115583061404160 is an abundant number, since it is smaller than the sum of its proper divisors (382595005513800).

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

115583061404160 is an equidigital number, since it uses as much as digits as its factorization.

115583061404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392339 (or 392307 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 115583061404160 in words is "one hundred fifteen trillion, five hundred eighty-three billion, sixty-one million, four hundred four thousand, one hundred sixty".