20874768000 has 512 divisors, whose sum is σ = 74544537600. Its totient is φ = 5150822400.

The previous prime is 20874767911. The next prime is 20874768001. The reversal of 20874768000 is 86747802.

It is not an unprimeable number, because it can be changed into a prime (20874768001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 42863757 + ... + 42864243.

It is an arithmetic number, because the mean of its divisors is an integer number (145594800).

Almost surely, 2^20874768000 is an apocalyptic number.

20874768000 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 20874768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37272268800).

20874768000 is an abundant number, since it is smaller than the sum of its proper divisors (53669769600).

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

20874768000 is a wasteful number, since it uses less digits than its factorization.

20874768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 20874768000 in words is "twenty billion, eight hundred seventy-four million, seven hundred sixty-eight thousand".