20879328000 has 288 divisors, whose sum is σ = 73007101440. Its totient is φ = 5274316800.

The previous prime is 20879327993. The next prime is 20879328013. The reversal of 20879328000 is 82397802.

It is a self number, because there is not a number n which added to its sum of digits gives 20879328000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1818277 + ... + 1829723.

It is an arithmetic number, because the mean of its divisors is an integer number (253496880).

Almost surely, 2^20879328000 is an apocalyptic number.

20879328000 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 20879328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36503550720).

20879328000 is an abundant number, since it is smaller than the sum of its proper divisors (52127773440).

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

20879328000 is a wasteful number, since it uses less digits than its factorization.

20879328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 11476 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 20879328000 in words is "twenty billion, eight hundred seventy-nine million, three hundred twenty-eight thousand".