255719211264 has 432 divisors, whose sum is σ = 849555732480. Its totient is φ = 73161584640.

The previous prime is 255719211227. The next prime is 255719211269. The reversal of 255719211264 is 462112917552.

255719211264 is a `hidden beast` number, since 2 + 5 + 571 + 9 + 2 + 1 + 12 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (255719211269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176722989 + ... + 176724435.

Almost surely, 2^255719211264 is an apocalyptic number.

255719211264 is a gapful number since it is divisible by the number (24) 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 255719211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424777866240).

255719211264 is an abundant number, since it is smaller than the sum of its proper divisors (593836521216).

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

255719211264 is a wasteful number, since it uses less digits than its factorization.

255719211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1849 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 255719211264 in words is "two hundred fifty-five billion, seven hundred nineteen million, two hundred eleven thousand, two hundred sixty-four".