256735001376752 has 80 divisors (see below), whose sum is σ = 510067689516000. Its totient is φ = 125110976839680.

The previous prime is 256735001376739. The next prime is 256735001376773. The reversal of 256735001376752 is 257673100537652.

It is a junction number, because it is equal to n+sod(n) for n = 256735001376691 and 256735001376700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2706728624 + ... + 2706823472.

It is an arithmetic number, because the mean of its divisors is an integer number (6375846118950).

Almost surely, 2^{256735001376752} is an apocalyptic number.

It is an amenable number.

256735001376752 is a deficient number, since it is larger than the sum of its proper divisors (253332688139248).

256735001376752 is a wasteful number, since it uses less digits than its factorization.

256735001376752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98994 (or 98988 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 59.

The spelling of 256735001376752 in words is "two hundred fifty-six trillion, seven hundred thirty-five billion, one million, three hundred seventy-six thousand, seven hundred fifty-two".