11830726656 has 468 divisors, whose sum is σ = 41543703552. Its totient is φ = 3177086976.

The previous prime is 11830726651. The next prime is 11830726709. The reversal of 11830726656 is 65662703811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11830726651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93155265 + ... + 93155391.

Almost surely, 2^11830726656 is an apocalyptic number.

11830726656 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 11830726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20771851776).

11830726656 is an abundant number, since it is smaller than the sum of its proper divisors (29712976896).

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

11830726656 is a wasteful number, since it uses less digits than its factorization.

11830726656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11830726656 in words is "eleven billion, eight hundred thirty million, seven hundred twenty-six thousand, six hundred fifty-six".