255712022691840 has 3264 divisors, whose sum is σ = 1114953863482368. Its totient is φ = 53316314726400.

The previous prime is 255712022691821. The next prime is 255712022691841. The reversal of 255712022691840 is 48196220217552.

255712022691840 is a `hidden beast` number, since 2 + 5 + 571 + 2 + 0 + 2 + 2 + 69 + 1 + 8 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255712022691841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 397685882559 + ... + 397685883201.

Almost surely, 2^{255712022691840} is an apocalyptic number.

255712022691840 is a gapful number since it is divisible by the number (20) 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 255712022691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557476931741184).

255712022691840 is an abundant number, since it is smaller than the sum of its proper divisors (859241840790528).

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

255712022691840 is a wasteful number, since it uses less digits than its factorization.

255712022691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 255712022691840 in words is "two hundred fifty-five trillion, seven hundred twelve billion, twenty-two million, six hundred ninety-one thousand, eight hundred forty".