20239417816800 has 1728 divisors, whose sum is σ = 85711684101120. Its totient is φ = 4106849402880.

The previous prime is 20239417816781. The next prime is 20239417816823. The reversal of 20239417816800 is 861871493202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13610905657 + ... + 13610907143.

It is an arithmetic number, because the mean of its divisors is an integer number (49601669040).

Almost surely, 2^{20239417816800} is an apocalyptic number.

20239417816800 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 20239417816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42855842050560).

20239417816800 is an abundant number, since it is smaller than the sum of its proper divisors (65472266284320).

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

20239417816800 is a wasteful number, since it uses less digits than its factorization.

20239417816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 20239417816800 in words is "twenty trillion, two hundred thirty-nine billion, four hundred seventeen million, eight hundred sixteen thousand, eight hundred".