1256560000 has 160 divisors (see below), whose sum is σ = 3178513800. Its totient is φ = 494592000.

The previous prime is 1256559979. The next prime is 1256560001. The reversal of 1256560000 is 656521.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256560001) 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 19 ways as a sum of consecutive naturals, for example, 9039931 + ... + 9040069.

Almost surely, 2^1256560000 is an apocalyptic number.

1256560000 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 1256560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589256900).

1256560000 is an abundant number, since it is smaller than the sum of its proper divisors (1921953800).

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

1256560000 is an equidigital number, since it uses as much as digits as its factorization.

1256560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1256560000 is about 35447.9900699602. The cubic root of 1256560000 is about 1079.0984703373.

The spelling of 1256560000 in words is "one billion, two hundred fifty-six million, five hundred sixty thousand".