20724228000 has 768 divisors, whose sum is σ = 87555686400. Its totient is φ = 4663526400.

The previous prime is 20724227971. The next prime is 20724228001. The reversal of 20724228000 is 82242702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20724228001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59723827 + ... + 59724173.

It is an arithmetic number, because the mean of its divisors is an integer number (114004800).

Almost surely, 2^20724228000 is an apocalyptic number.

20724228000 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 20724228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43777843200).

20724228000 is an abundant number, since it is smaller than the sum of its proper divisors (66831458400).

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

20724228000 is a wasteful number, since it uses less digits than its factorization.

20724228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 20724228000 in words is "twenty billion, seven hundred twenty-four million, two hundred twenty-eight thousand".