1285271568 has 180 divisors, whose sum is σ = 4404918960. Its totient is φ = 347856768.

The previous prime is 1285271543. The next prime is 1285271599. The reversal of 1285271568 is 8651725821.

1285271568 is a `hidden beast` number, since 1 + 2 + 85 + 2 + 7 + 1 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129271 + ... + 138857.

It is an arithmetic number, because the mean of its divisors is an integer number (24471772).

Almost surely, 2^1285271568 is an apocalyptic number.

1285271568 is a gapful number since it is divisible by the number (18) 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 1285271568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202459480).

1285271568 is an abundant number, since it is smaller than the sum of its proper divisors (3119647392).

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

1285271568 is a wasteful number, since it uses less digits than its factorization.

1285271568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9634 (or 9618 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 1285271568 is about 35850.6843449327. The cubic root of 1285271568 is about 1087.2555506055.

The spelling of 1285271568 in words is "one billion, two hundred eighty-five million, two hundred seventy-one thousand, five hundred sixty-eight".