11556261964800 has 1188 divisors, whose sum is σ = 49109133701680. Its totient is φ = 2641162567680.

The previous prime is 11556261964789. The next prime is 11556261964813. The reversal of 11556261964800 is 846916265511.

It is a happy number.

11556261964800 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 626 + 1 + 9 + 6 + 4 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1175726286 + ... + 1175736114.

Almost surely, 2^{11556261964800} is an apocalyptic number.

11556261964800 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 11556261964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554566850840).

11556261964800 is an abundant number, since it is smaller than the sum of its proper divisors (37552871736880).

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

11556261964800 is an frugal number, since it uses more digits than its factorization.

11556261964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9890 (or 9846 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 11556261964800 in words is "eleven trillion, five hundred fifty-six billion, two hundred sixty-one million, nine hundred sixty-four thousand, eight hundred".