256680013140 has 72 divisors (see below), whose sum is σ = 778745920680. Its totient is φ = 68434827264.

The previous prime is 256680013111. The next prime is 256680013147. The reversal of 256680013140 is 41310086652.

It is a happy number.

256680013140 is a `hidden beast` number, since 2 + 566 + 80 + 0 + 1 + 3 + 14 + 0 = 666.

256680013140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 58145605956 + 198534407184 = 241134^2 + 445572^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 256680013095 and 256680013104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256680013147) 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 23 ways as a sum of consecutive naturals, for example, 818856 + ... + 1088064.

It is an arithmetic number, because the mean of its divisors is an integer number (10815915565).

Almost surely, 2^256680013140 is an apocalyptic number.

256680013140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256680013140 is an abundant number, since it is smaller than the sum of its proper divisors (522065907540).

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

256680013140 is a wasteful number, since it uses less digits than its factorization.

256680013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274521 (or 274516 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 256680013140 its reverse (41310086652), we get a palindrome (297990099792).

The spelling of 256680013140 in words is "two hundred fifty-six billion, six hundred eighty million, thirteen thousand, one hundred forty".