20006727583056 has 160 divisors (see below), whose sum is σ = 52820039301120. Its totient is φ = 6523892928000.

The previous prime is 20006727582973. The next prime is 20006727583057. The reversal of 20006727583056 is 65038572760002.

It is a happy number.

It is a super-2 number, since 2×20006727583056² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006727583057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454376850 + ... + 454420878.

It is an arithmetic number, because the mean of its divisors is an integer number (330125245632).

Almost surely, 2^{20006727583056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20006727583056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26410019650560).

20006727583056 is an abundant number, since it is smaller than the sum of its proper divisors (32813311718064).

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

20006727583056 is a wasteful number, since it uses less digits than its factorization.

20006727583056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45145 (or 45139 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 20006727583056 in words is "twenty trillion, six billion, seven hundred twenty-seven million, five hundred eighty-three thousand, fifty-six".