11133615360 has 576 divisors, whose sum is σ = 42384384000. Its totient is φ = 2489131008.

The previous prime is 11133615343. The next prime is 11133615379. The reversal of 11133615360 is 6351633111.

11133615360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104052427 + ... + 104052533.

It is an arithmetic number, because the mean of its divisors is an integer number (73584000).

Almost surely, 2^11133615360 is an apocalyptic number.

11133615360 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 11133615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21192192000).

11133615360 is an abundant number, since it is smaller than the sum of its proper divisors (31250768640).

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

11133615360 is an equidigital number, since it uses as much as digits as its factorization.

11133615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 11133615360 in words is "eleven billion, one hundred thirty-three million, six hundred fifteen thousand, three hundred sixty".