11265285600 has 432 divisors, whose sum is σ = 41561589888. Its totient is φ = 2977482240.

The previous prime is 11265285587. The next prime is 11265285679. The reversal of 11265285600 is 658256211.

11265285600 is a `hidden beast` number, since 1 + 1 + 26 + 5 + 28 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32464627 + ... + 32464973.

It is an arithmetic number, because the mean of its divisors is an integer number (96207384).

Almost surely, 2^11265285600 is an apocalyptic number.

11265285600 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 11265285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20780794944).

11265285600 is an abundant number, since it is smaller than the sum of its proper divisors (30296304288).

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

11265285600 is a wasteful number, since it uses less digits than its factorization.

11265285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11265285600 in words is "eleven billion, two hundred sixty-five million, two hundred eighty-five thousand, six hundred".