20724481600 has 189 divisors, whose sum is σ = 52738489011. Its totient is φ = 8015692800.

The previous prime is 20724481579. The next prime is 20724481619. The reversal of 20724481600 is 618442702.

It is a happy number.

The square root of 20724481600 is 143960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9546071616 + 11178409984 = 97704^2 + 105728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 339745570 + ... + 339745630.

Almost surely, 2^20724481600 is an apocalyptic number.

20724481600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20724481600 is the 143960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20724481600

20724481600 is an abundant number, since it is smaller than the sum of its proper divisors (32014007411).

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

20724481600 is an frugal number, since it uses more digits than its factorization.

20724481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 20724481600 in words is "twenty billion, seven hundred twenty-four million, four hundred eighty-one thousand, six hundred".