11563388928 has 520 divisors, whose sum is σ = 42625701888. Its totient is φ = 3041722368.

The previous prime is 11563388927. The next prime is 11563388929. The reversal of 11563388928 is 82988336511.

11563388928 is a `hidden beast` number, since 115 + 63 + 388 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11563388927) and next prime (11563388929).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11563388927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30191425 + ... + 30191807.

Almost surely, 2^11563388928 is an apocalyptic number.

11563388928 is a gapful number since it is divisible by the number (18) 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 11563388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21312850944).

11563388928 is an abundant number, since it is smaller than the sum of its proper divisors (31062312960).

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

11563388928 is an equidigital number, since it uses as much as digits as its factorization.

11563388928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 408 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 11563388928 in words is "eleven billion, five hundred sixty-three million, three hundred eighty-eight thousand, nine hundred twenty-eight".