20451411200 has 216 divisors, whose sum is σ = 55430827200. Its totient is φ = 7408844800.

The previous prime is 20451411137. The next prime is 20451411203. The reversal of 20451411200 is 211415402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20451411203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31609277 + ... + 31609923.

It is an arithmetic number, because the mean of its divisors is an integer number (256624200).

Almost surely, 2^20451411200 is an apocalyptic number.

20451411200 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 20451411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27715413600).

20451411200 is an abundant number, since it is smaller than the sum of its proper divisors (34979416000).

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

20451411200 is a wasteful number, since it uses less digits than its factorization.

20451411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 20451411200 its reverse (211415402), we get a palindrome (20662826602).

The spelling of 20451411200 in words is "twenty billion, four hundred fifty-one million, four hundred eleven thousand, two hundred".