11265346260 has 144 divisors (see below), whose sum is σ = 39217651200. Its totient is φ = 2564093952.

The previous prime is 11265346231. The next prime is 11265346283. The reversal of 11265346260 is 6264356211.

11265346260 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 534 + 62 + 60 = 666.

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 47 ways as a sum of consecutive naturals, for example, 282436 + ... + 319844.

It is an arithmetic number, because the mean of its divisors is an integer number (272344800).

Almost surely, 2^11265346260 is an apocalyptic number.

11265346260 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 11265346260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19608825600).

11265346260 is an abundant number, since it is smaller than the sum of its proper divisors (27952304940).

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

11265346260 is a wasteful number, since it uses less digits than its factorization.

11265346260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37670 (or 37665 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11265346260 in words is "eleven billion, two hundred sixty-five million, three hundred forty-six thousand, two hundred sixty".