20430753200 has 360 divisors, whose sum is σ = 61196864400. Its totient is φ = 6493132800.

The previous prime is 20430753157. The next prime is 20430753209. The reversal of 20430753200 is 235703402.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20430753200.

It is not an unprimeable number, because it can be changed into a prime (20430753209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11953946 + ... + 11955654.

It is an arithmetic number, because the mean of its divisors is an integer number (169991290).

Almost surely, 2^20430753200 is an apocalyptic number.

20430753200 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 20430753200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30598432200).

20430753200 is an abundant number, since it is smaller than the sum of its proper divisors (40766111200).

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

20430753200 is a wasteful number, since it uses less digits than its factorization.

20430753200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The spelling of 20430753200 in words is "twenty billion, four hundred thirty million, seven hundred fifty-three thousand, two hundred".