20980181040 has 480 divisors, whose sum is σ = 83701517760. Its totient is φ = 4305788928.

The previous prime is 20980181039. The next prime is 20980181059. The reversal of 20980181040 is 4018108902.

It is a junction number, because it is equal to n+sod(n) for n = 20980180992 and 20980181010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5654706 + ... + 5658414.

It is an arithmetic number, because the mean of its divisors is an integer number (174378162).

Almost surely, 2^20980181040 is an apocalyptic number.

20980181040 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 20980181040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41850758880).

20980181040 is an abundant number, since it is smaller than the sum of its proper divisors (62721336720).

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

20980181040 is a wasteful number, since it uses less digits than its factorization.

20980181040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

Adding to 20980181040 its reverse (4018108902), we get a palindrome (24998289942).

The spelling of 20980181040 in words is "twenty billion, nine hundred eighty million, one hundred eighty-one thousand, forty".