11563575840 has 144 divisors (see below), whose sum is σ = 39551960448. Its totient is φ = 3076489728.

The previous prime is 11563575839. The next prime is 11563575851. The reversal of 11563575840 is 4857536511.

11563575840 is a `hidden beast` number, since 1 + 1 + 5 + 63 + 5 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628857 + ... + 646983.

It is an arithmetic number, because the mean of its divisors is an integer number (274666392).

Almost surely, 2^11563575840 is an apocalyptic number.

11563575840 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 11563575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19775980224).

11563575840 is an abundant number, since it is smaller than the sum of its proper divisors (27988384608).

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

11563575840 is a wasteful number, since it uses less digits than its factorization.

11563575840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18591 (or 18580 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 11563575840 in words is "eleven billion, five hundred sixty-three million, five hundred seventy-five thousand, eight hundred forty".