11065775712 has 96 divisors (see below), whose sum is σ = 30649288320. Its totient is φ = 3486136320.

The previous prime is 11065775657. The next prime is 11065775767. The reversal of 11065775712 is 21757756011.

It is an interprime number because it is at equal distance from previous prime (11065775657) and next prime (11065775767).

It is a tau number, because it is divible by the number of its divisors (96).

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, 782787 + ... + 796797.

It is an arithmetic number, because the mean of its divisors is an integer number (319263420).

Almost surely, 2^11065775712 is an apocalyptic number.

11065775712 is a gapful number since it is divisible by the number (12) 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 11065775712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15324644160).

11065775712 is an abundant number, since it is smaller than the sum of its proper divisors (19583512608).

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

11065775712 is a wasteful number, since it uses less digits than its factorization.

11065775712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14476 (or 14468 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 42.

The spelling of 11065775712 in words is "eleven billion, sixty-five million, seven hundred seventy-five thousand, seven hundred twelve".