255718262739456 has 480 divisors, whose sum is σ = 835310083608000. Its totient is φ = 77455290286080.

The previous prime is 255718262739451. The next prime is 255718262739479. The reversal of 255718262739456 is 654937262817552.

255718262739456 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 1 + 82 + 62 + 7 + 39 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (255718262739451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3105257770 + ... + 3105340118.

It is an arithmetic number, because the mean of its divisors is an integer number (1740229340850).

Almost surely, 2^{255718262739456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255718262739456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417655041804000).

255718262739456 is an abundant number, since it is smaller than the sum of its proper divisors (579591820868544).

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

255718262739456 is an equidigital number, since it uses as much as digits as its factorization.

255718262739456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84662 (or 84634 counting only the distinct ones).

The product of its digits is 1524096000, while the sum is 72.

The spelling of 255718262739456 in words is "two hundred fifty-five trillion, seven hundred eighteen billion, two hundred sixty-two million, seven hundred thirty-nine thousand, four hundred fifty-six".