11598082560 has 120 divisors (see below), whose sum is σ = 40167501660. Its totient is φ = 3092815872.

The previous prime is 11598082477. The next prime is 11598082571. The reversal of 11598082560 is 6528089511.

It is a happy number.

11598082560 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 8 + 0 + 82 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10228490496 + 1369592064 = 101136^2 + 37008^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228655 + ... + 274734.

Almost surely, 2^11598082560 is an apocalyptic number.

11598082560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11598082560 is an abundant number, since it is smaller than the sum of its proper divisors (28569419100).

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

11598082560 is an equidigital number, since it uses as much as digits as its factorization.

11598082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503418 (or 503399 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 11598082560 in words is "eleven billion, five hundred ninety-eight million, eighty-two thousand, five hundred sixty".