20819919960 has 192 divisors, whose sum is σ = 78041620800. Its totient is φ = 4715117568.

The previous prime is 20819919929. The next prime is 20819919979. The reversal of 20819919960 is 6991991802.

20819919960 is a `hidden beast` number, since 208 + 199 + 199 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20819919897 and 20819919906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236782 + ... + 312578.

It is an arithmetic number, because the mean of its divisors is an integer number (406466775).

Almost surely, 2^20819919960 is an apocalyptic number.

20819919960 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 20819919960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39020810400).

20819919960 is an abundant number, since it is smaller than the sum of its proper divisors (57221700840).

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

20819919960 is a wasteful number, since it uses less digits than its factorization.

20819919960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75930 (or 75923 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 20819919960 in words is "twenty billion, eight hundred nineteen million, nine hundred nineteen thousand, nine hundred sixty".