11052780028128 has 384 divisors, whose sum is σ = 33280572124800. Its totient is φ = 3566112915456.

The previous prime is 11052780028123. The next prime is 11052780028151. The reversal of 11052780028128 is 82182008725011.

11052780028128 is a `hidden beast` number, since 1 + 1 + 0 + 527 + 80 + 0 + 28 + 1 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052780028123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7734624918 + ... + 7734626346.

It is an arithmetic number, because the mean of its divisors is an integer number (86668156575).

Almost surely, 2^{11052780028128} is an apocalyptic number.

11052780028128 is a gapful number since it is divisible by the number (18) 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 11052780028128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16640286062400).

11052780028128 is an abundant number, since it is smaller than the sum of its proper divisors (22227792096672).

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

11052780028128 is a wasteful number, since it uses less digits than its factorization.

11052780028128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 11052780028128 in words is "eleven trillion, fifty-two billion, seven hundred eighty million, twenty-eight thousand, one hundred twenty-eight".