11563683840 has 312 divisors, whose sum is σ = 41042807520. Its totient is φ = 3009871872.

The previous prime is 11563683839. The next prime is 11563683853. The reversal of 11563683840 is 4838636511.

11563683840 is a `hidden beast` number, since 1 + 1 + 5 + 636 + 8 + 3 + 8 + 4 + 0 = 666.

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

It is a congruent number.

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, 7925031 + ... + 7926489.

It is an arithmetic number, because the mean of its divisors is an integer number (131547460).

Almost surely, 2^11563683840 is an apocalyptic number.

11563683840 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 11563683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20521403760).

11563683840 is an abundant number, since it is smaller than the sum of its proper divisors (29479123680).

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

11563683840 is a wasteful number, since it uses less digits than its factorization.

11563683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11563683840 in words is "eleven billion, five hundred sixty-three million, six hundred eighty-three thousand, eight hundred forty".