11563655040 has 512 divisors, whose sum is σ = 47784960000. Its totient is φ = 2641766400.

The previous prime is 11563655039. The next prime is 11563655041. The reversal of 11563655040 is 4055636511.

11563655040 is a `hidden beast` number, since 1 + 1 + 5 + 63 + 6 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11563655039) and next prime (11563655041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11563654986 and 11563655004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11563655041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5926065 + ... + 5928015.

It is an arithmetic number, because the mean of its divisors is an integer number (93330000).

Almost surely, 2^11563655040 is an apocalyptic number.

11563655040 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 11563655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23892480000).

11563655040 is an abundant number, since it is smaller than the sum of its proper divisors (36221304960).

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

11563655040 is an equidigital number, since it uses as much as digits as its factorization.

11563655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 11563655040 in words is "eleven billion, five hundred sixty-three million, six hundred fifty-five thousand, forty".