11181265920 has 1056 divisors, whose sum is σ = 47210042880. Its totient is φ = 2508226560.

The previous prime is 11181265919. The next prime is 11181265957. The reversal of 11181265920 is 2956218111.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 260029419 + ... + 260029461.

It is an arithmetic number, because the mean of its divisors is an integer number (44706480).

Almost surely, 2^11181265920 is an apocalyptic number.

11181265920 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 11181265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23605021440).

11181265920 is an abundant number, since it is smaller than the sum of its proper divisors (36028776960).

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

11181265920 is a wasteful number, since it uses less digits than its factorization.

11181265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11181265920 in words is "eleven billion, one hundred eighty-one million, two hundred sixty-five thousand, nine hundred twenty".