1285367128064 has 112 divisors (see below), whose sum is σ = 2745014901120. Its totient is φ = 600501780480.

The previous prime is 1285367128027. The next prime is 1285367128069. The reversal of 1285367128064 is 4608217635821.

It is a junction number, because it is equal to n+sod(n) for n = 1285367127997 and 1285367128015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285367128069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7277342 + ... + 7451874.

Almost surely, 2^{1285367128064} 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 1285367128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372507450560).

1285367128064 is an abundant number, since it is smaller than the sum of its proper divisors (1459647773056).

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

1285367128064 is an equidigital number, since it uses as much as digits as its factorization.

1285367128064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174619 (or 174595 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 1285367128064 in words is "one trillion, two hundred eighty-five billion, three hundred sixty-seven million, one hundred twenty-eight thousand, sixty-four".