20723240800 has 144 divisors (see below), whose sum is σ = 51386992272. Its totient is φ = 8159590400.

The previous prime is 20723240773. The next prime is 20723240807. The reversal of 20723240800 is 804232702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20723240807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30610062 + ... + 30610738.

It is an arithmetic number, because the mean of its divisors is an integer number (356854113).

Almost surely, 2^20723240800 is an apocalyptic number.

20723240800 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 20723240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25693496136).

20723240800 is an abundant number, since it is smaller than the sum of its proper divisors (30663751472).

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

20723240800 is a wasteful number, since it uses less digits than its factorization.

20723240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 20723240800 in words is "twenty billion, seven hundred twenty-three million, two hundred forty thousand, eight hundred".