11266920575820 has 768 divisors, whose sum is σ = 46468595712000. Its totient is φ = 2199699016704.

The previous prime is 11266920575809. The next prime is 11266920575849. The reversal of 11266920575820 is 2857502966211.

11266920575820 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 6 + 9 + 2 + 0 + 57 + 582 + 0 = 666.

11266920575820 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40007061 + ... + 40287699.

It is an arithmetic number, because the mean of its divisors is an integer number (60505984000).

Almost surely, 2^{11266920575820} is an apocalyptic number.

11266920575820 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 11266920575820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23234297856000).

11266920575820 is an abundant number, since it is smaller than the sum of its proper divisors (35201675136180).

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

11266920575820 is a wasteful number, since it uses less digits than its factorization.

11266920575820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280739 (or 280731 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 11266920575820 in words is "eleven trillion, two hundred sixty-six billion, nine hundred twenty million, five hundred seventy-five thousand, eight hundred twenty".