11561883840 has 448 divisors, whose sum is σ = 44515430400. Its totient is φ = 2807820288.

The previous prime is 11561883829. The next prime is 11561883979. The reversal of 11561883840 is 4838816511.

11561883840 is a `hidden beast` number, since 1 + 1 + 561 + 8 + 8 + 3 + 84 + 0 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8872629 + ... + 8873931.

It is an arithmetic number, because the mean of its divisors is an integer number (99364800).

Almost surely, 2^11561883840 is an apocalyptic number.

11561883840 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 11561883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22257715200).

11561883840 is an abundant number, since it is smaller than the sum of its proper divisors (32953546560).

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

11561883840 is a wasteful number, since it uses less digits than its factorization.

11561883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 11561883840 in words is "eleven billion, five hundred sixty-one million, eight hundred eighty-three thousand, eight hundred forty".