11059566984 has 80 divisors (see below), whose sum is σ = 31162824000. Its totient is φ = 3664411488.

The previous prime is 11059566967. The next prime is 11059567007. The reversal of 11059566984 is 48966595011.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11059566984.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57117 + ... + 159315.

It is an arithmetic number, because the mean of its divisors is an integer number (389535300).

Almost surely, 2^11059566984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11059566984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581412000).

11059566984 is an abundant number, since it is smaller than the sum of its proper divisors (20103257016).

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

11059566984 is a wasteful number, since it uses less digits than its factorization.

11059566984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102384 (or 102371 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 11059566984 in words is "eleven billion, fifty-nine million, five hundred sixty-six thousand, nine hundred eighty-four".