11205258280 has 96 divisors (see below), whose sum is σ = 27035402400. Its totient is φ = 4178564096.

The previous prime is 11205258271. The next prime is 11205258301. The reversal of 11205258280 is 8285250211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232391 + ... + 1241449.

It is an arithmetic number, because the mean of its divisors is an integer number (281618775).

Almost surely, 2^11205258280 is an apocalyptic number.

11205258280 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 11205258280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517701200).

11205258280 is an abundant number, since it is smaller than the sum of its proper divisors (15830144120).

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

11205258280 is a wasteful number, since it uses less digits than its factorization.

11205258280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9211 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The spelling of 11205258280 in words is "eleven billion, two hundred five million, two hundred fifty-eight thousand, two hundred eighty".