20819716848 has 160 divisors (see below), whose sum is σ = 68497758720. Its totient is φ = 5931048960.

The previous prime is 20819716843. The next prime is 20819716987. The reversal of 20819716848 is 84861791802.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20819716794 and 20819716803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20819716843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039408 + ... + 1059248.

It is an arithmetic number, because the mean of its divisors is an integer number (428110992).

Almost surely, 2^20819716848 is an apocalyptic number.

20819716848 is a gapful number since it is divisible by the number (28) 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 20819716848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34248879360).

20819716848 is an abundant number, since it is smaller than the sum of its proper divisors (47678041872).

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

20819716848 is a wasteful number, since it uses less digits than its factorization.

20819716848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20212 (or 20200 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 20819716848 in words is "twenty billion, eight hundred nineteen million, seven hundred sixteen thousand, eight hundred forty-eight".