20480319776 has 96 divisors (see below), whose sum is σ = 46976993280. Its totient is φ = 8607303936.

The previous prime is 20480319763. The next prime is 20480319791. The reversal of 20480319776 is 67791308402.

It is a self number, because there is not a number n which added to its sum of digits gives 20480319776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6117335 + ... + 6120681.

It is an arithmetic number, because the mean of its divisors is an integer number (489343680).

Almost surely, 2^20480319776 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 20480319776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23488496640).

20480319776 is an abundant number, since it is smaller than the sum of its proper divisors (26496673504).

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

20480319776 is a wasteful number, since it uses less digits than its factorization.

20480319776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 20480319776 in words is "twenty billion, four hundred eighty million, three hundred nineteen thousand, seven hundred seventy-six".