11028840569712 has 960 divisors, whose sum is σ = 38170912905216. Its totient is φ = 3017953935360.

The previous prime is 11028840569711. The next prime is 11028840569729. The reversal of 11028840569712 is 21796504882011.

11028840569712 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 8 + 8 + 4 + 0 + 569 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11028840569711) 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, 11572759828 + ... + 11572760780.

Almost surely, 2^{11028840569712} is an apocalyptic number.

11028840569712 is a gapful number since it is divisible by the number (12) 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 11028840569712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19085456452608).

11028840569712 is an abundant number, since it is smaller than the sum of its proper divisors (27142072335504).

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

11028840569712 is a wasteful number, since it uses less digits than its factorization.

11028840569712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 11028840569712 in words is "eleven trillion, twenty-eight billion, eight hundred forty million, five hundred sixty-nine thousand, seven hundred twelve".