20819770848 has 240 divisors, whose sum is σ = 62889750000. Its totient is φ = 6754295808.

The previous prime is 20819770793. The next prime is 20819770871. The reversal of 20819770848 is 84807791802.

It is a happy number.

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 = 20819770794 and 20819770803.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 16668528 + ... + 16669776.

It is an arithmetic number, because the mean of its divisors is an integer number (262040625).

Almost surely, 2^20819770848 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 20819770848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31444875000).

20819770848 is an abundant number, since it is smaller than the sum of its proper divisors (42069979152).

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

20819770848 is a wasteful number, since it uses less digits than its factorization.

20819770848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 20819770848 in words is "twenty billion, eight hundred nineteen million, seven hundred seventy thousand, eight hundred forty-eight".