11627564256 has 960 divisors, whose sum is σ = 47421158400. Its totient is φ = 2700656640.

The previous prime is 11627564237. The next prime is 11627564257. The reversal of 11627564256 is 65246572611.

11627564256 is a `hidden beast` number, since 1 + 1 + 62 + 7 + 564 + 25 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11627564257) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 78037270 + ... + 78037418.

It is an arithmetic number, because the mean of its divisors is an integer number (49397040).

Almost surely, 2^11627564256 is an apocalyptic number.

11627564256 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 11627564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710579200).

11627564256 is an abundant number, since it is smaller than the sum of its proper divisors (35793594144).

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

11627564256 is a wasteful number, since it uses less digits than its factorization.

11627564256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 11627564256 in words is "eleven billion, six hundred twenty-seven million, five hundred sixty-four thousand, two hundred fifty-six".