20003407200 has 972 divisors, whose sum is σ = 86222567340. Its totient is φ = 4349721600.

The previous prime is 20003407147. The next prime is 20003407213. The reversal of 20003407200 is 270430002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 339040771 + ... + 339040829.

It is an arithmetic number, because the mean of its divisors is an integer number (88706345).

Almost surely, 2^20003407200 is an apocalyptic number.

20003407200 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 20003407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43111283670).

20003407200 is an abundant number, since it is smaller than the sum of its proper divisors (66219160140).

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

20003407200 is a wasteful number, since it uses less digits than its factorization.

20003407200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 20003407200 its reverse (270430002), we get a palindrome (20273837202).

The spelling of 20003407200 in words is "twenty billion, three million, four hundred seven thousand, two hundred".