20944324800 has 378 divisors, whose sum is σ = 86597637828. Its totient is φ = 4787112960.

The previous prime is 20944324799. The next prime is 20944324801. The reversal of 20944324800 is 842344902.

20944324800 is a `hidden beast` number, since 209 + 443 + 2 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20944324799) and next prime (20944324801).

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

It is not an unprimeable number, because it can be changed into a prime (20944324801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 690759 + ... + 720441.

Almost surely, 2^20944324800 is an apocalyptic number.

20944324800 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 20944324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43298818914).

20944324800 is an abundant number, since it is smaller than the sum of its proper divisors (65653313028).

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

20944324800 is a wasteful number, since it uses less digits than its factorization.

20944324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29725 (or 29700 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

It can be divided in two parts, 20944 and 324800, that added together give a square (345744 = 588²).

The spelling of 20944324800 in words is "twenty billion, nine hundred forty-four million, three hundred twenty-four thousand, eight hundred".