11085665536920 has 768 divisors, whose sum is σ = 38642092554240. Its totient is φ = 2528350175232.

The previous prime is 11085665536909. The next prime is 11085665536943. The reversal of 11085665536920 is 2963556658011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8507800989 + ... + 8507802291.

It is an arithmetic number, because the mean of its divisors is an integer number (50315224680).

Almost surely, 2^{11085665536920} is an apocalyptic number.

11085665536920 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 11085665536920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19321046277120).

11085665536920 is an abundant number, since it is smaller than the sum of its proper divisors (27556427017320).

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

11085665536920 is a wasteful number, since it uses less digits than its factorization.

11085665536920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 57.

The spelling of 11085665536920 in words is "eleven trillion, eighty-five billion, six hundred sixty-five million, five hundred thirty-six thousand, nine hundred twenty".