11305511842688 has 128 divisors (see below), whose sum is σ = 26033813164800. Its totient is φ = 4790141153280.

The previous prime is 11305511842607. The next prime is 11305511842711. The reversal of 11305511842688 is 88624811550311.

It is a Cunningham number, because it is equal to 3362367²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 46953068 + ... + 47193236.

It is an arithmetic number, because the mean of its divisors is an integer number (203389165350).

Almost surely, 2^{11305511842688} 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 11305511842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13016906582400).

11305511842688 is an abundant number, since it is smaller than the sum of its proper divisors (14728301322112).

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

11305511842688 is a wasteful number, since it uses less digits than its factorization.

11305511842688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240788 (or 240776 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 53.

The spelling of 11305511842688 in words is "eleven trillion, three hundred five billion, five hundred eleven million, eight hundred forty-two thousand, six hundred eighty-eight".