11159525664 has 576 divisors, whose sum is σ = 40758681600. Its totient is φ = 2822916096.

The previous prime is 11159525659. The next prime is 11159525719. The reversal of 11159525664 is 46652595111.

11159525664 is a `hidden beast` number, since 1 + 1 + 1 + 595 + 2 + 56 + 6 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 46692457 + ... + 46692695.

It is an arithmetic number, because the mean of its divisors is an integer number (70761600).

Almost surely, 2^11159525664 is an apocalyptic number.

11159525664 is a gapful number since it is divisible by the number (14) 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 11159525664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379340800).

11159525664 is an abundant number, since it is smaller than the sum of its proper divisors (29599155936).

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

11159525664 is a wasteful number, since it uses less digits than its factorization.

11159525664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The spelling of 11159525664 in words is "eleven billion, one hundred fifty-nine million, five hundred twenty-five thousand, six hundred sixty-four".