256479521760 has 1728 divisors, whose sum is σ = 1180473315840. Its totient is φ = 49196851200.

The previous prime is 256479521759. The next prime is 256479521761. The reversal of 256479521760 is 67125974652.

It is a happy number.

256479521760 is a `hidden beast` number, since 2 + 5 + 6 + 47 + 9 + 521 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256479521759) and next prime (256479521761).

It is a junction number, because it is equal to n+sod(n) for n = 256479521697 and 256479521706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256479521761) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3090114679 + ... + 3090114761.

It is an arithmetic number, because the mean of its divisors is an integer number (683144280).

Almost surely, 2^256479521760 is an apocalyptic number.

256479521760 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 256479521760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590236657920).

256479521760 is an abundant number, since it is smaller than the sum of its proper divisors (923993794080).

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

256479521760 is a wasteful number, since it uses less digits than its factorization.

256479521760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 256479521760 in words is "two hundred fifty-six billion, four hundred seventy-nine million, five hundred twenty-one thousand, seven hundred sixty".