11006811720 has 192 divisors, whose sum is σ = 37824696000. Its totient is φ = 2768131584.

The previous prime is 11006811703. The next prime is 11006811727. The reversal of 11006811720 is 2711860011.

It is a super-2 number, since 2×11006811720² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006811727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1562847 + ... + 1569873.

It is an arithmetic number, because the mean of its divisors is an integer number (197003625).

Almost surely, 2^11006811720 is an apocalyptic number.

11006811720 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 11006811720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912348000).

11006811720 is an abundant number, since it is smaller than the sum of its proper divisors (26817884280).

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

11006811720 is a wasteful number, since it uses less digits than its factorization.

11006811720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7292 (or 7285 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 11006811720 in words is "eleven billion, six million, eight hundred eleven thousand, seven hundred twenty".