11027507605688 has 64 divisors (see below), whose sum is σ = 24022182571200. Its totient is φ = 4647741419520.

The previous prime is 11027507605687. The next prime is 11027507605733. The reversal of 11027507605688 is 88650670572011.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11027507605687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18414728 + ... + 19004136.

It is an arithmetic number, because the mean of its divisors is an integer number (375346602675).

Almost surely, 2^{11027507605688} 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 11027507605688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011091285600).

11027507605688 is an abundant number, since it is smaller than the sum of its proper divisors (12994674965512).

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

11027507605688 is a wasteful number, since it uses less digits than its factorization.

11027507605688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594960 (or 594956 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 56.

The spelling of 11027507605688 in words is "eleven trillion, twenty-seven billion, five hundred seven million, six hundred five thousand, six hundred eighty-eight".