11681566320 has 320 divisors, whose sum is σ = 41671618560. Its totient is φ = 2687385600.

The previous prime is 11681566277. The next prime is 11681566321. The reversal of 11681566320 is 2366518611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11681566321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2400690 + ... + 2405550.

It is an arithmetic number, because the mean of its divisors is an integer number (130223808).

Almost surely, 2^11681566320 is an apocalyptic number.

11681566320 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 11681566320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835809280).

11681566320 is an abundant number, since it is smaller than the sum of its proper divisors (29990052240).

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

11681566320 is a wasteful number, since it uses less digits than its factorization.

11681566320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 11681566320 in words is "eleven billion, six hundred eighty-one million, five hundred sixty-six thousand, three hundred twenty".