20823854688 has 864 divisors, whose sum is σ = 80521039872. Its totient is φ = 4964198400.

The previous prime is 20823854677. The next prime is 20823854717. The reversal of 20823854688 is 88645832802.

20823854688 is a `hidden beast` number, since 20 + 82 + 3 + 85 + 468 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 293293693 + ... + 293293763.

It is an arithmetic number, because the mean of its divisors is an integer number (93195648).

Almost surely, 2^20823854688 is an apocalyptic number.

20823854688 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 20823854688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40260519936).

20823854688 is an abundant number, since it is smaller than the sum of its proper divisors (59697185184).

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

20823854688 is a wasteful number, since it uses less digits than its factorization.

20823854688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 20823854688 in words is "twenty billion, eight hundred twenty-three million, eight hundred fifty-four thousand, six hundred eighty-eight".