11145298560 has 512 divisors, whose sum is σ = 41455411200. Its totient is φ = 2520268800.

The previous prime is 11145298553. The next prime is 11145298643. The reversal of 11145298560 is 6589254111.

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, 18986587 + ... + 18987173.

It is an arithmetic number, because the mean of its divisors is an integer number (80967600).

Almost surely, 2^11145298560 is an apocalyptic number.

11145298560 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 11145298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727705600).

11145298560 is an abundant number, since it is smaller than the sum of its proper divisors (30310112640).

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

11145298560 is a wasteful number, since it uses less digits than its factorization.

11145298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

It can be divided in two parts, 111452 and 98560, that added together give a palindrome (210012).

The spelling of 11145298560 in words is "eleven billion, one hundred forty-five million, two hundred ninety-eight thousand, five hundred sixty".