256756120540335 has 48 divisors (see below), whose sum is σ = 507470920617024. Its totient is φ = 118967541820416.

The previous prime is 256756120540277. The next prime is 256756120540411. The reversal of 256756120540335 is 533045021657652.

256756120540335 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 5 + 61 + 2 + 0 + 540 + 3 + 35 = 666.

It is not a de Polignac number, because 256756120540335 - 2¹⁰ = 256756120539311 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12908794507 + ... + 12908814396.

It is an arithmetic number, because the mean of its divisors is an integer number (10572310846188).

Almost surely, 2^{256756120540335} is an apocalyptic number.

256756120540335 is a deficient number, since it is larger than the sum of its proper divisors (250714800076689).

256756120540335 is a wasteful number, since it uses less digits than its factorization.

256756120540335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25817608944 (or 25817608941 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 256756120540335 in words is "two hundred fifty-six trillion, seven hundred fifty-six billion, one hundred twenty million, five hundred forty thousand, three hundred thirty-five".