1291282560 has 576 divisors, whose sum is σ = 5092476480. Its totient is φ = 312035328.

The previous prime is 1291282529. The next prime is 1291282567. The reversal of 1291282560 is 652821921.

1291282560 is a `hidden beast` number, since 1 + 2 + 9 + 12 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (1291282567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56142709 + ... + 56142731.

It is an arithmetic number, because the mean of its divisors is an integer number (8841105).

Almost surely, 2^1291282560 is an apocalyptic number.

1291282560 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 1291282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546238240).

1291282560 is an abundant number, since it is smaller than the sum of its proper divisors (3801193920).

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

1291282560 is an equidigital number, since it uses as much as digits as its factorization.

1291282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1291282560 is about 35934.4202680383. The cubic root of 1291282560 is about 1088.9478835793.

The spelling of 1291282560 in words is "one billion, two hundred ninety-one million, two hundred eighty-two thousand, five hundred sixty".