20083080505200 has 360 divisors, whose sum is σ = 66164117256720. Its totient is φ = 5207152435200.

The previous prime is 20083080505121. The next prime is 20083080505231. The reversal of 20083080505200 is 250508038002.

It is a super-3 number, since 3×20083080505200³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

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, 3057247516 + ... + 3057254084.

It is an arithmetic number, because the mean of its divisors is an integer number (183789214602).

Almost surely, 2^{20083080505200} is an apocalyptic number.

20083080505200 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 20083080505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33082058628360).

20083080505200 is an abundant number, since it is smaller than the sum of its proper divisors (46081036751520).

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

20083080505200 is a wasteful number, since it uses less digits than its factorization.

20083080505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 20083080505200 in words is "twenty trillion, eighty-three billion, eighty million, five hundred five thousand, two hundred".