2066759088000 has 512 divisors, whose sum is σ = 7488426516480. Its totient is φ = 501977088000.

The previous prime is 2066759087933. The next prime is 2066759088041. The reversal of 2066759088000 is 8809576602.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 25255149 + ... + 25336851.

It is an arithmetic number, because the mean of its divisors is an integer number (14625833040).

Almost surely, 2^{2066759088000} is an apocalyptic number.

2066759088000 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 2066759088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744213258240).

2066759088000 is an abundant number, since it is smaller than the sum of its proper divisors (5421667428480).

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

2066759088000 is a wasteful number, since it uses less digits than its factorization.

2066759088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81783 (or 81761 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 2066759088000 in words is "two trillion, sixty-six billion, seven hundred fifty-nine million, eighty-eight thousand".