20225431680 has 256 divisors, whose sum is σ = 66789273600. Its totient is φ = 5200588800.

The previous prime is 20225431679. The next prime is 20225431697. The reversal of 20225431680 is 8613452202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24938475 + ... + 24939285.

It is an arithmetic number, because the mean of its divisors is an integer number (260895600).

Almost surely, 2^20225431680 is an apocalyptic number.

20225431680 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 20225431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33394636800).

20225431680 is an abundant number, since it is smaller than the sum of its proper divisors (46563841920).

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

20225431680 is a wasteful number, since it uses less digits than its factorization.

20225431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 20225431680 its reverse (8613452202), we get a palindrome (28838883882).

The spelling of 20225431680 in words is "twenty billion, two hundred twenty-five million, four hundred thirty-one thousand, six hundred eighty".