11138015280 has 320 divisors, whose sum is σ = 41227361280. Its totient is φ = 2434240512.

The previous prime is 11138015263. The next prime is 11138015293. The reversal of 11138015280 is 8251083111.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 3665922 + ... + 3668958.

It is an arithmetic number, because the mean of its divisors is an integer number (128835504).

Almost surely, 2^11138015280 is an apocalyptic number.

11138015280 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 11138015280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20613680640).

11138015280 is an abundant number, since it is smaller than the sum of its proper divisors (30089346000).

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

11138015280 is a wasteful number, since it uses less digits than its factorization.

11138015280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

Adding to 11138015280 its reverse (8251083111), we get a palindrome (19389098391).

The spelling of 11138015280 in words is "eleven billion, one hundred thirty-eight million, fifteen thousand, two hundred eighty".