20018016004800 has 1008 divisors, whose sum is σ = 75167528782752. Its totient is φ = 4656537600000.

The previous prime is 20018016004783. The next prime is 20018016004801. The reversal of 20018016004800 is 840061081002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20018016004801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1452573910 + ... + 1452587690.

It is an arithmetic number, because the mean of its divisors is an integer number (74570961094).

Almost surely, 2^{20018016004800} is an apocalyptic number.

20018016004800 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 20018016004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37583764391376).

20018016004800 is an abundant number, since it is smaller than the sum of its proper divisors (55149512777952).

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

20018016004800 is a wasteful number, since it uses less digits than its factorization.

20018016004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13930 (or 13904 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 20018016004800 its reverse (840061081002), we get a palindrome (20858077085802).

The spelling of 20018016004800 in words is "twenty trillion, eighteen billion, sixteen million, four thousand, eight hundred".