11028332936880 has 1000 divisors, whose sum is σ = 44883481557552. Its totient is φ = 2519897651712.

The previous prime is 11028332936843. The next prime is 11028332936921. The reversal of 11028332936880 is 8863923382011.

11028332936880 is a `hidden beast` number, since 1 + 1 + 0 + 283 + 329 + 36 + 8 + 8 + 0 = 666.

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 199 ways as a sum of consecutive naturals, for example, 3780709182 + ... + 3780712098.

Almost surely, 2^{11028332936880} is an apocalyptic number.

11028332936880 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 11028332936880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22441740778776).

11028332936880 is an abundant number, since it is smaller than the sum of its proper divisors (33855148620672).

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

11028332936880 is an frugal number, since it uses more digits than its factorization.

11028332936880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 11028332936880 in words is "eleven trillion, twenty-eight billion, three hundred thirty-two million, nine hundred thirty-six thousand, eight hundred eighty".