11681571583728 has 180 divisors, whose sum is σ = 33866745157440. Its totient is φ = 3758655860736.

The previous prime is 11681571583681. The next prime is 11681571583733. The reversal of 11681571583728 is 82738517518611.

11681571583728 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 1 + 571 + 5 + 8 + 37 + 28 = 666.

It is a super-2 number, since 2×11681571583728² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 624039553 + ... + 624058271.

It is an arithmetic number, because the mean of its divisors is an integer number (188148584208).

Almost surely, 2^{11681571583728} is an apocalyptic number.

11681571583728 is a gapful number since it is divisible by the number (18) 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 11681571583728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16933372578720).

11681571583728 is an abundant number, since it is smaller than the sum of its proper divisors (22185173573712).

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

11681571583728 is a wasteful number, since it uses less digits than its factorization.

11681571583728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23944 (or 23906 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 63.

The spelling of 11681571583728 in words is "eleven trillion, six hundred eighty-one billion, five hundred seventy-one million, five hundred eighty-three thousand, seven hundred twenty-eight".