20448247564800 has 1200 divisors, whose sum is σ = 83962603058400. Its totient is φ = 4872971059200.

The previous prime is 20448247564729. The next prime is 20448247564807. The reversal of 20448247564800 is 846574284402.

It is a happy number.

20448247564800 is a `hidden beast` number, since 2 + 0 + 44 + 82 + 47 + 5 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20448247564807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 672868006 + ... + 672898394.

It is an arithmetic number, because the mean of its divisors is an integer number (69968835882).

Almost surely, 2^{20448247564800} is an apocalyptic number.

20448247564800 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 20448247564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41981301529200).

20448247564800 is an abundant number, since it is smaller than the sum of its proper divisors (63514355493600).

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

20448247564800 is a wasteful number, since it uses less digits than its factorization.

20448247564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30499 (or 30469 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 20448247564800 in words is "twenty trillion, four hundred forty-eight billion, two hundred forty-seven million, five hundred sixty-four thousand, eight hundred".