11136789313920 has 1536 divisors, whose sum is σ = 43414983106560. Its totient is φ = 2615987404800.

The previous prime is 11136789313907. The next prime is 11136789313927. The reversal of 11136789313920 is 2931398763111.

11136789313920 is a `hidden beast` number, since 1 + 113 + 67 + 89 + 3 + 1 + 392 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11136789313927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41095163385 + ... + 41095163655.

It is an arithmetic number, because the mean of its divisors is an integer number (28264962960).

Almost surely, 2^{11136789313920} is an apocalyptic number.

11136789313920 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 11136789313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21707491553280).

11136789313920 is an abundant number, since it is smaller than the sum of its proper divisors (32278193792640).

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

11136789313920 is a wasteful number, since it uses less digits than its factorization.

11136789313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 11136789313920 in words is "eleven trillion, one hundred thirty-six billion, seven hundred eighty-nine million, three hundred thirteen thousand, nine hundred twenty".