20850859920000 has 640 divisors, whose sum is σ = 79474889894400. Its totient is φ = 4788702720000.

The previous prime is 20850859919951. The next prime is 20850859920029. The reversal of 20850859920000 is 2995805802.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 79 ways as a sum of consecutive naturals, for example, 49952157 + ... + 50367843.

It is an arithmetic number, because the mean of its divisors is an integer number (124179515460).

Almost surely, 2^{20850859920000} is an apocalyptic number.

20850859920000 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 20850859920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39737444947200).

20850859920000 is an abundant number, since it is smaller than the sum of its proper divisors (58624029974400).

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

20850859920000 is a wasteful number, since it uses less digits than its factorization.

20850859920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415754 (or 415727 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 20850859920000 in words is "twenty trillion, eight hundred fifty billion, eight hundred fifty-nine million, nine hundred twenty thousand".