255638532096 has 312 divisors, whose sum is σ = 782011152000. Its totient is φ = 80237592576.

The previous prime is 255638532089. The next prime is 255638532133. The reversal of 255638532096 is 690235836552.

255638532096 is a `hidden beast` number, since 2 + 5 + 56 + 385 + 3 + 209 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125373445 + ... + 125375483.

It is an arithmetic number, because the mean of its divisors is an integer number (2506446000).

Almost surely, 2^255638532096 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 255638532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391005576000).

255638532096 is an abundant number, since it is smaller than the sum of its proper divisors (526372619904).

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

255638532096 is a wasteful number, since it uses less digits than its factorization.

255638532096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 255638532096 in words is "two hundred fifty-five billion, six hundred thirty-eight million, five hundred thirty-two thousand, ninety-six".