11556648000 has 224 divisors, whose sum is σ = 42400849920. Its totient is φ = 3081715200.

The previous prime is 11556647959. The next prime is 11556648001. The reversal of 11556648000 is 84665511.

11556648000 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 6 + 648 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×11556648000² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11556648001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 189249 + ... + 242751.

Almost surely, 2^11556648000 is an apocalyptic number.

11556648000 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 11556648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21200424960).

11556648000 is an abundant number, since it is smaller than the sum of its proper divisors (30844201920).

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

11556648000 is an equidigital number, since it uses as much as digits as its factorization.

11556648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53539 (or 53513 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11556648000 in words is "eleven billion, five hundred fifty-six million, six hundred forty-eight thousand".