256523216701760 has 28 divisors (see below), whose sum is σ = 610845909771828. Its totient is φ = 102609286680576.

The previous prime is 256523216701753. The next prime is 256523216701771. The reversal of 256523216701760 is 67107612325652.

It can be written as a sum of positive squares in 2 ways, for example, as 37491031032064 + 219032185669696 = 6122992^2 + 14799736^2 .

It is a super-2 number, since 2×256523216701760² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 400817525777 + ... + 400817526416.

Almost surely, 2^{256523216701760} is an apocalyptic number.

256523216701760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256523216701760 is an abundant number, since it is smaller than the sum of its proper divisors (354322693070068).

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

256523216701760 is an equidigital number, since it uses as much as digits as its factorization.

256523216701760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801635052210 (or 801635052200 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 53.

The spelling of 256523216701760 in words is "two hundred fifty-six trillion, five hundred twenty-three billion, two hundred sixteen million, seven hundred one thousand, seven hundred sixty".