11608495560 has 320 divisors, whose sum is σ = 41493513600. Its totient is φ = 2900772864.

The previous prime is 11608495511. The next prime is 11608495573. The reversal of 11608495560 is 6559480611.

11608495560 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 84 + 9 + 5 + 560 = 666.

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 79 ways as a sum of consecutive naturals, for example, 23078269 + ... + 23078771.

It is an arithmetic number, because the mean of its divisors is an integer number (129667230).

Almost surely, 2^11608495560 is an apocalyptic number.

11608495560 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 11608495560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746756800).

11608495560 is an abundant number, since it is smaller than the sum of its proper divisors (29885018040).

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

11608495560 is a wasteful number, since it uses less digits than its factorization.

11608495560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 11608495560 in words is "eleven billion, six hundred eight million, four hundred ninety-five thousand, five hundred sixty".