11562406560 has 384 divisors, whose sum is σ = 41420574720. Its totient is φ = 3049436160.

The previous prime is 11562406553. The next prime is 11562406577. The reversal of 11562406560 is 6560426511.

11562406560 is a `hidden beast` number, since 1 + 1 + 56 + 2 + 40 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60536065 + ... + 60536255.

It is an arithmetic number, because the mean of its divisors is an integer number (107866080).

Almost surely, 2^11562406560 is an apocalyptic number.

11562406560 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 11562406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20710287360).

11562406560 is an abundant number, since it is smaller than the sum of its proper divisors (29858168160).

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

11562406560 is an equidigital number, since it uses as much as digits as its factorization.

11562406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 374 counting only the distinct ones).

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

The spelling of 11562406560 in words is "eleven billion, five hundred sixty-two million, four hundred six thousand, five hundred sixty".