20864448000 has 960 divisors, whose sum is σ = 85143389760. Its totient is φ = 4866048000.

The previous prime is 20864447977. The next prime is 20864448001. The reversal of 20864448000 is 84446802.

20864448000 is a `hidden beast` number, since 2 + 0 + 8 + 644 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20864448001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234431956 + ... + 234432044.

It is an arithmetic number, because the mean of its divisors is an integer number (88691031).

Almost surely, 2^20864448000 is an apocalyptic number.

20864448000 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 20864448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42571694880).

20864448000 is an abundant number, since it is smaller than the sum of its proper divisors (64278941760).

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

20864448000 is a wasteful number, since it uses less digits than its factorization.

20864448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

It can be divided in two parts, 20864 and 448000, that added together give a palindrome (468864).

The spelling of 20864448000 in words is "twenty billion, eight hundred sixty-four million, four hundred forty-eight thousand".