11133682560 has 768 divisors, whose sum is σ = 51646533120. Its totient is φ = 2134425600.

The previous prime is 11133682531. The next prime is 11133682579. The reversal of 11133682560 is 6528633111.

11133682560 is a `hidden beast` number, since 1 + 1 + 1 + 33 + 68 + 2 + 560 = 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 95 ways as a sum of consecutive naturals, for example, 5764795 + ... + 5766725.

It is an arithmetic number, because the mean of its divisors is an integer number (67248090).

Almost surely, 2^11133682560 is an apocalyptic number.

11133682560 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 11133682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25823266560).

11133682560 is an abundant number, since it is smaller than the sum of its proper divisors (40512850560).

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

11133682560 is a wasteful number, since it uses less digits than its factorization.

11133682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11133682560 in words is "eleven billion, one hundred thirty-three million, six hundred eighty-two thousand, five hundred sixty".