20017412800 has 336 divisors, whose sum is σ = 62733984768. Its totient is φ = 6104678400.

The previous prime is 20017412791. The next prime is 20017412803. The reversal of 20017412800 is 821471002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20017412803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5788672 + ... + 5792128.

It is an arithmetic number, because the mean of its divisors is an integer number (186708288).

Almost surely, 2^20017412800 is an apocalyptic number.

20017412800 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 20017412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31366992384).

20017412800 is an abundant number, since it is smaller than the sum of its proper divisors (42716571968).

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

20017412800 is a wasteful number, since it uses less digits than its factorization.

20017412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 20017412800 its reverse (821471002), we get a palindrome (20838883802).

The spelling of 20017412800 in words is "twenty billion, seventeen million, four hundred twelve thousand, eight hundred".