256786560000 has 660 divisors, whose sum is σ = 937321914100. Its totient is φ = 67682304000.

The previous prime is 256786559999. The next prime is 256786560001. The reversal of 256786560000 is 65687652.

256786560000 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 86 + 560 + 0 + 0 + 0 = 666.

256786560000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256786559999) and next prime (256786560001).

It can be written as a sum of positive squares in 10 ways, for example, as 112702546944 + 144084013056 = 335712^2 + 379584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256786560001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 627839796 + ... + 627840204.

Almost surely, 2^256786560000 is an apocalyptic number.

256786560000 is a gapful number since it is divisible by the number (20) 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 256786560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468660957050).

256786560000 is an abundant number, since it is smaller than the sum of its proper divisors (680535354100).

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

256786560000 is a wasteful number, since it uses less digits than its factorization.

256786560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 256786560000 in words is "two hundred fifty-six billion, seven hundred eighty-six million, five hundred sixty thousand".