2085632533050 has 768 divisors, whose sum is σ = 6398590464000. Its totient is φ = 443337523200.

The previous prime is 2085632533013. The next prime is 2085632533097. The reversal of 2085632533050 is 503352365802.

It is a junction number, because it is equal to n+sod(n) for n = 2085632532993 and 2085632533011.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5976024276 + ... + 5976024624.

It is an arithmetic number, because the mean of its divisors is an integer number (8331498000).

Almost surely, 2^{2085632533050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085632533050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199295232000).

2085632533050 is an abundant number, since it is smaller than the sum of its proper divisors (4312957930950).

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

2085632533050 is a wasteful number, since it uses less digits than its factorization.

2085632533050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 2085632533050 its reverse (503352365802), we get a palindrome (2588984898852).

The spelling of 2085632533050 in words is "two trillion, eighty-five billion, six hundred thirty-two million, five hundred thirty-three thousand, fifty".