11563627380480 has 1728 divisors, whose sum is σ = 48916288512000. Its totient is φ = 2517887877120.

The previous prime is 11563627380463. The next prime is 11563627380523. The reversal of 11563627380480 is 8408372636511.

11563627380480 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 3 + 627 + 3 + 8 + 0 + 4 + 8 + 0 = 666.

11563627380480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8206974016 + ... + 8206975424.

Almost surely, 2^{11563627380480} is an apocalyptic number.

11563627380480 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 11563627380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24458144256000).

11563627380480 is an abundant number, since it is smaller than the sum of its proper divisors (37352661131520).

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

11563627380480 is a wasteful number, since it uses less digits than its factorization.

11563627380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 11563627380480 in words is "eleven trillion, five hundred sixty-three billion, six hundred twenty-seven million, three hundred eighty thousand, four hundred eighty".