11225518080 has 416 divisors, whose sum is σ = 42072121344. Its totient is φ = 2502033408.

The previous prime is 11225518061. The next prime is 11225518141. The reversal of 11225518080 is 8081552211.

It is a congruent number.

It is an unprimeable number.

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, 18493137 + ... + 18493743.

Almost surely, 2^11225518080 is an apocalyptic number.

11225518080 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 11225518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21036060672).

11225518080 is an abundant number, since it is smaller than the sum of its proper divisors (30846603264).

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

11225518080 is an equidigital number, since it uses as much as digits as its factorization.

11225518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 33.

The spelling of 11225518080 in words is "eleven billion, two hundred twenty-five million, five hundred eighteen thousand, eighty".