11309356556800 has 240 divisors, whose sum is σ = 28734982109064. Its totient is φ = 4408524800000.

The previous prime is 11309356556791. The next prime is 11309356556801. The reversal of 11309356556800 is 865565390311.

It can be written as a sum of positive squares in 12 ways, for example, as 1373546496256 + 9935810060544 = 1171984^2 + 3152112^2 .

It is not an unprimeable number, because it can be changed into a prime (11309356556801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493825350 + ... + 493848250.

Almost surely, 2^{11309356556800} is an apocalyptic number.

11309356556800 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 11309356556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367491054532).

11309356556800 is an abundant number, since it is smaller than the sum of its proper divisors (17425625552264).

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

11309356556800 is an equidigital number, since it uses as much as digits as its factorization.

11309356556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23911 (or 23890 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 52.

The spelling of 11309356556800 in words is "eleven trillion, three hundred nine billion, three hundred fifty-six million, five hundred fifty-six thousand, eight hundred".