20083485618240 has 896 divisors, whose sum is σ = 74689900830720. Its totient is φ = 4523099750400.

The previous prime is 20083485618223. The next prime is 20083485618247. The reversal of 20083485618240 is 4281658438002.

It is not an unprimeable number, because it can be changed into a prime (20083485618247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2280395917 + ... + 2280404723.

It is an arithmetic number, because the mean of its divisors is an integer number (83359264320).

Almost surely, 2^{20083485618240} is an apocalyptic number.

20083485618240 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 20083485618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37344950415360).

20083485618240 is an abundant number, since it is smaller than the sum of its proper divisors (54606415212480).

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

20083485618240 is a wasteful number, since it uses less digits than its factorization.

20083485618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 20083485618240 in words is "twenty trillion, eighty-three billion, four hundred eighty-five million, six hundred eighteen thousand, two hundred forty".