1285214268576 has 576 divisors, whose sum is σ = 4245655502592. Its totient is φ = 338170871808.

The previous prime is 1285214268523. The next prime is 1285214268587. The reversal of 1285214268576 is 6758624125821.

It is a happy number.

It is a super-2 number, since 2×1285214268576² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 799759165 + ... + 799760771.

It is an arithmetic number, because the mean of its divisors is an integer number (7370929692).

Almost surely, 2^{1285214268576} is an apocalyptic number.

1285214268576 is a gapful number since it is divisible by the number (16) 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 1285214268576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122827751296).

1285214268576 is an abundant number, since it is smaller than the sum of its proper divisors (2960441234016).

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

1285214268576 is a wasteful number, since it uses less digits than its factorization.

1285214268576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1846 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 57.

The spelling of 1285214268576 in words is "one trillion, two hundred eighty-five billion, two hundred fourteen million, two hundred sixty-eight thousand, five hundred seventy-six".