1285810560 has 384 divisors, whose sum is σ = 4837248000. Its totient is φ = 313528320.

The previous prime is 1285810507. The next prime is 1285810567. The reversal of 1285810560 is 650185821.

1285810560 is a `hidden beast` number, since 1 + 2 + 85 + 8 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285810567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3392451 + ... + 3392829.

It is an arithmetic number, because the mean of its divisors is an integer number (12597000).

Almost surely, 2^1285810560 is an apocalyptic number.

1285810560 is a gapful number since it is divisible by the number (10) 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 1285810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418624000).

1285810560 is an abundant number, since it is smaller than the sum of its proper divisors (3551437440).

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

1285810560 is a wasteful number, since it uses less digits than its factorization.

1285810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1285810560 is about 35858.2007356755. The cubic root of 1285810560 is about 1087.4075133396.

The spelling of 1285810560 in words is "one billion, two hundred eighty-five million, eight hundred ten thousand, five hundred sixty".