11811553280 has 144 divisors (see below), whose sum is σ = 28877672880. Its totient is φ = 4636803072.

The previous prime is 11811553279. The next prime is 11811553283. The reversal of 11811553280 is 8235511811.

It is a self number, because there is not a number n which added to its sum of digits gives 11811553280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11811553283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43908986 + ... + 43909254.

It is an arithmetic number, because the mean of its divisors is an integer number (200539395).

Almost surely, 2^11811553280 is an apocalyptic number.

11811553280 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 11811553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438836440).

11811553280 is an abundant number, since it is smaller than the sum of its proper divisors (17066119600).

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

11811553280 is an frugal number, since it uses more digits than its factorization.

11811553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 35.

The spelling of 11811553280 in words is "eleven billion, eight hundred eleven million, five hundred fifty-three thousand, two hundred eighty".