2085639777792 has 480 divisors, whose sum is σ = 6359920126560. Its totient is φ = 682237624320.

The previous prime is 2085639777763. The next prime is 2085639777803. The reversal of 2085639777792 is 2977779365802.

2085639777792 is a `hidden beast` number, since 2 + 0 + 85 + 6 + 397 + 7 + 77 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2085639777792.

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 47 ways as a sum of consecutive naturals, for example, 1532431192 + ... + 1532432552.

It is an arithmetic number, because the mean of its divisors is an integer number (13249833597).

Almost surely, 2^{2085639777792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085639777792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179960063280).

2085639777792 is an abundant number, since it is smaller than the sum of its proper divisors (4274280348768).

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

2085639777792 is a wasteful number, since it uses less digits than its factorization.

2085639777792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 2085639777792 in words is "two trillion, eighty-five billion, six hundred thirty-nine million, seven hundred seventy-seven thousand, seven hundred ninety-two".