255717135063936 has 1536 divisors, whose sum is σ = 987541593292800. Its totient is φ = 64047565209600.

The previous prime is 255717135063911. The next prime is 255717135063941. The reversal of 255717135063936 is 639360531717552.

255717135063936 is a `hidden beast` number, since 2 + 5 + 5 + 71 + 71 + 350 + 63 + 93 + 6 = 666.

255717135063936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5007065281 + ... + 5007116351.

It is an arithmetic number, because the mean of its divisors is an integer number (642930724800).

Almost surely, 2^{255717135063936} is an apocalyptic number.

255717135063936 is a gapful number since it is divisible by the number (26) 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 255717135063936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493770796646400).

255717135063936 is an abundant number, since it is smaller than the sum of its proper divisors (731824458228864).

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

255717135063936 is a wasteful number, since it uses less digits than its factorization.

255717135063936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51210 (or 51186 counting only the distinct ones).

The product of its (nonzero) digits is 107163000, while the sum is 63.

The spelling of 255717135063936 in words is "two hundred fifty-five trillion, seven hundred seventeen billion, one hundred thirty-five million, sixty-three thousand, nine hundred thirty-six".