11254834280 has 48 divisors (see below), whose sum is σ = 25745660460. Its totient is φ = 4428072960.

The previous prime is 11254834247. The next prime is 11254834291. The reversal of 11254834280 is 8243845211.

11254834280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2292196 + 11252542084 = 1514^2 + 106078^2 .

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 11 ways as a sum of consecutive naturals, for example, 111032 + ... + 186648.

Almost surely, 2^11254834280 is an apocalyptic number.

11254834280 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 11254834280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12872830230).

11254834280 is an abundant number, since it is smaller than the sum of its proper divisors (14490826180).

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

11254834280 is an equidigital number, since it uses as much as digits as its factorization.

11254834280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75750 (or 75685 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 11254834280 in words is "eleven billion, two hundred fifty-four million, eight hundred thirty-four thousand, two hundred eighty".