20024271280080 has 480 divisors, whose sum is σ = 70256917436160. Its totient is φ = 5300196249600.

The previous prime is 20024271280063. The next prime is 20024271280087. The reversal of 20024271280080 is 8008217242002.

20024271280080 is a `hidden beast` number, since 200 + 2 + 427 + 1 + 28 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20024271280087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5674203756 + ... + 5674207284.

It is an arithmetic number, because the mean of its divisors is an integer number (146368577992).

Almost surely, 2^{20024271280080} is an apocalyptic number.

20024271280080 is a gapful number since it is divisible by the number (20) 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 20024271280080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35128458718080).

20024271280080 is an abundant number, since it is smaller than the sum of its proper divisors (50232646156080).

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

20024271280080 is a wasteful number, since it uses less digits than its factorization.

20024271280080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5623 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 20024271280080 in words is "twenty trillion, twenty-four billion, two hundred seventy-one million, two hundred eighty thousand, eighty".