11530563840 has 324 divisors, whose sum is σ = 41457023244. Its totient is φ = 3072577536.

The previous prime is 11530563791. The next prime is 11530563859. The reversal of 11530563840 is 4836503511.

11530563840 is a `hidden beast` number, since 1 + 1 + 53 + 0 + 563 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8707129344 + 2823434496 = 93312^2 + 53136^2 .

It is a tau number, because it is divible by the number of its divisors (324).

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 = 11530563795 and 11530563804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8397394 + ... + 8398766.

Almost surely, 2^11530563840 is an apocalyptic number.

11530563840 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 11530563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20728511622).

11530563840 is an abundant number, since it is smaller than the sum of its proper divisors (29926459404).

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

11530563840 is an frugal number, since it uses more digits than its factorization.

11530563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11530563840 in words is "eleven billion, five hundred thirty million, five hundred sixty-three thousand, eight hundred forty".