20060850700800 has 960 divisors, whose sum is σ = 90625463765760. Its totient is φ = 4232612413440.

The previous prime is 20060850700777. The next prime is 20060850700817. The reversal of 20060850700800 is 800705806002.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×20060850700800² (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 95 ways as a sum of consecutive naturals, for example, 31130664 + ... + 31768536.

It is an arithmetic number, because the mean of its divisors is an integer number (94401524756).

Almost surely, 2^{20060850700800} is an apocalyptic number.

20060850700800 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 20060850700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45312731882880).

20060850700800 is an abundant number, since it is smaller than the sum of its proper divisors (70564613064960).

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

20060850700800 is a wasteful number, since it uses less digits than its factorization.

20060850700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637930 (or 637903 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 20060850700800 in words is "twenty trillion, sixty billion, eight hundred fifty million, seven hundred thousand, eight hundred".