11005966720 has 256 divisors, whose sum is σ = 31375134720. Its totient is φ = 3613040640.

The previous prime is 11005966711. The next prime is 11005966781. The reversal of 11005966720 is 2766950011.

It is a super-2 number, since 2×11005966720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 11005966720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11105425 + ... + 11106415.

It is an arithmetic number, because the mean of its divisors is an integer number (122559120).

Almost surely, 2^11005966720 is an apocalyptic number.

11005966720 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 11005966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15687567360).

11005966720 is an abundant number, since it is smaller than the sum of its proper divisors (20369168000).

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

11005966720 is an equidigital number, since it uses as much as digits as its factorization.

11005966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 11005966720 in words is "eleven billion, five million, nine hundred sixty-six thousand, seven hundred twenty".