11560838980288 has 112 divisors (see below), whose sum is σ = 25783479300096. Its totient is φ = 5103072691200.

The previous prime is 11560838980267. The next prime is 11560838980303. The reversal of 11560838980288 is 88208983806511.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152112345 + ... + 152188327.

It is an arithmetic number, because the mean of its divisors is an integer number (230209636608).

Almost surely, 2^{11560838980288} 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 11560838980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891739650048).

11560838980288 is an abundant number, since it is smaller than the sum of its proper divisors (14222640319808).

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

11560838980288 is a wasteful number, since it uses less digits than its factorization.

11560838980288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83982 (or 83972 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 67.

The spelling of 11560838980288 in words is "eleven trillion, five hundred sixty billion, eight hundred thirty-eight million, nine hundred eighty thousand, two hundred eighty-eight".