20391882336 has 288 divisors, whose sum is σ = 69818112000. Its totient is φ = 5637461760.

The previous prime is 20391882319. The next prime is 20391882361. The reversal of 20391882336 is 63328819302.

20391882336 is a `hidden beast` number, since 20 + 391 + 8 + 8 + 233 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 20391882291 and 20391882300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3058975 + ... + 3065633.

It is an arithmetic number, because the mean of its divisors is an integer number (242424000).

Almost surely, 2^20391882336 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 20391882336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34909056000).

20391882336 is an abundant number, since it is smaller than the sum of its proper divisors (49426229664).

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

20391882336 is a wasteful number, since it uses less digits than its factorization.

20391882336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6727 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 20391882336 in words is "twenty billion, three hundred ninety-one million, eight hundred eighty-two thousand, three hundred thirty-six".