1285605828224 has 32 divisors (see below), whose sum is σ = 2649484001700. Its totient is φ = 620637294592.

The previous prime is 1285605828223. The next prime is 1285605828251. The reversal of 1285605828224 is 4228285065821.

It can be written as a sum of positive squares in 2 ways, for example, as 1285502440000 + 103388224 = 1133800^2 + 10168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1285605828223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173165177 + ... + 173172600.

Almost surely, 2^{1285605828224} is an apocalyptic number.

It is an amenable number.

1285605828224 is an abundant number, since it is smaller than the sum of its proper divisors (1363878173476).

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

1285605828224 is an equidigital number, since it uses as much as digits as its factorization.

1285605828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346337820 (or 346337808 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 53.

The spelling of 1285605828224 in words is "one trillion, two hundred eighty-five billion, six hundred five million, eight hundred twenty-eight thousand, two hundred twenty-four".