20987142823728 has 140 divisors (see below), whose sum is σ = 60974811335520. Its totient is φ = 6994702574208.

The previous prime is 20987142823711. The next prime is 20987142823811. The reversal of 20987142823728 is 82732824178902.

20987142823728 is a `hidden beast` number, since 2 + 0 + 98 + 71 + 428 + 2 + 37 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 82792825 + ... + 83045927.

Almost surely, 2^{20987142823728} 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 20987142823728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30487405667760).

20987142823728 is an abundant number, since it is smaller than the sum of its proper divisors (39987668511792).

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

20987142823728 is an equidigital number, since it uses as much as digits as its factorization.

20987142823728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260238 (or 260217 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 20987142823728 in words is "twenty trillion, nine hundred eighty-seven billion, one hundred forty-two million, eight hundred twenty-three thousand, seven hundred twenty-eight".