2685666850400 has 144 divisors (see below), whose sum is σ = 6597390552480. Its totient is φ = 1067556556800.

The previous prime is 2685666850393. The next prime is 2685666850409. The reversal of 2685666850400 is 40586665862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685666850409) 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, 225737252 + ... + 225749148.

It is an arithmetic number, because the mean of its divisors is an integer number (45815212170).

Almost surely, 2^{2685666850400} is an apocalyptic number.

2685666850400 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 2685666850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298695276240).

2685666850400 is an abundant number, since it is smaller than the sum of its proper divisors (3911723702080).

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

2685666850400 is a wasteful number, since it uses less digits than its factorization.

2685666850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13657 (or 13644 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 56.

The spelling of 2685666850400 in words is "two trillion, six hundred eighty-five billion, six hundred sixty-six million, eight hundred fifty thousand, four hundred".