11627727616 has 72 divisors (see below), whose sum is σ = 24674554800. Its totient is φ = 5453107200.

The previous prime is 11627727583. The next prime is 11627727619. The reversal of 11627727616 is 61672772611.

It is not an unprimeable number, because it can be changed into a prime (11627727619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479430 + ... + 503098.

It is an arithmetic number, because the mean of its divisors is an integer number (342702150).

Almost surely, 2^11627727616 is an apocalyptic number.

11627727616 is a gapful number since it is divisible by the number (16) 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 11627727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337277400).

11627727616 is an abundant number, since it is smaller than the sum of its proper divisors (13046827184).

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

11627727616 is a wasteful number, since it uses less digits than its factorization.

11627727616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23805 (or 23791 counting only the distinct ones).

The product of its digits is 296352, while the sum is 46.

The spelling of 11627727616 in words is "eleven billion, six hundred twenty-seven million, seven hundred twenty-seven thousand, six hundred sixteen".