2686845005800 has 96 divisors (see below), whose sum is σ = 6309962933400. Its totient is φ = 1063895040000.

The previous prime is 2686845005783. The next prime is 2686845005809. The reversal of 2686845005800 is 85005486862.

2686845005800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 553241415204 + 2133603590596 = 743802^2 + 1460686^2 .

It is not an unprimeable number, because it can be changed into a prime (2686845005809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151268920 + ... + 151286680.

Almost surely, 2^{2686845005800} is an apocalyptic number.

2686845005800 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 2686845005800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154981466700).

2686845005800 is an abundant number, since it is smaller than the sum of its proper divisors (3623117927600).

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

2686845005800 is a wasteful number, since it uses less digits than its factorization.

2686845005800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25367 (or 25358 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 2686845005800 in words is "two trillion, six hundred eighty-six billion, eight hundred forty-five million, five thousand, eight hundred".