20050838068800 has 1344 divisors, whose sum is σ = 84435807191040. Its totient is φ = 4044017664000.

The previous prime is 20050838068799. The next prime is 20050838068901. The reversal of 20050838068800 is 886083805002.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×20050838068800³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20050838068800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6550419270 + ... + 6550422330.

Almost surely, 2^{20050838068800} is an apocalyptic number.

20050838068800 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 20050838068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42217903595520).

20050838068800 is an abundant number, since it is smaller than the sum of its proper divisors (64384969122240).

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

20050838068800 is a wasteful number, since it uses less digits than its factorization.

20050838068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 20050838068800 in words is "twenty trillion, fifty billion, eight hundred thirty-eight million, sixty-eight thousand, eight hundred".