2855085952680 has 768 divisors, whose sum is σ = 10632271104000. Its totient is φ = 662580891648.

The previous prime is 2855085952673. The next prime is 2855085952703. The reversal of 2855085952680 is 862595805582.

2855085952680 is a `hidden beast` number, since 2 + 8 + 5 + 50 + 8 + 59 + 526 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4703600937 + ... + 4703601543.

It is an arithmetic number, because the mean of its divisors is an integer number (13844103000).

Almost surely, 2^{2855085952680} is an apocalyptic number.

2855085952680 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 2855085952680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316135552000).

2855085952680 is an abundant number, since it is smaller than the sum of its proper divisors (7777185151320).

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

2855085952680 is a wasteful number, since it uses less digits than its factorization.

2855085952680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 63.

The spelling of 2855085952680 in words is "two trillion, eight hundred fifty-five billion, eighty-five million, nine hundred fifty-two thousand, six hundred eighty".