20871648000 has 1728 divisors, whose sum is σ = 98146339200. Its totient is φ = 4335206400.

The previous prime is 20871647959. The next prime is 20871648019. The reversal of 20871648000 is 84617802.

20871648000 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 1 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 719711986 + ... + 719712014.

It is an arithmetic number, because the mean of its divisors is an integer number (56797650).

Almost surely, 2^20871648000 is an apocalyptic number.

20871648000 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 20871648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49073169600).

20871648000 is an abundant number, since it is smaller than the sum of its proper divisors (77274691200).

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

20871648000 is a wasteful number, since it uses less digits than its factorization.

20871648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 20871648000 in words is "twenty billion, eight hundred seventy-one million, six hundred forty-eight thousand".