20016040816800 has 432 divisors, whose sum is σ = 80675382820032. Its totient is φ = 4574486016000.

The previous prime is 20016040816769. The next prime is 20016040816813. The reversal of 20016040816800 is 861804061002.

20016040816800 is a `hidden beast` number, since 2 + 0 + 0 + 160 + 408 + 16 + 80 + 0 = 666.

It is a super-2 number, since 2×20016040816800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 456954900 + ... + 456998700.

Almost surely, 2^{20016040816800} is an apocalyptic number.

20016040816800 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 20016040816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40337691410016).

20016040816800 is an abundant number, since it is smaller than the sum of its proper divisors (60659342003232).

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

20016040816800 is a wasteful number, since it uses less digits than its factorization.

20016040816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52901 (or 52885 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 20016040816800 its reverse (861804061002), we get a palindrome (20877844877802).

The spelling of 20016040816800 in words is "twenty trillion, sixteen billion, forty million, eight hundred sixteen thousand, eight hundred".