255883943927040 has 3456 divisors, whose sum is σ = 1066994655068160. Its totient is φ = 51706626048000.

The previous prime is 255883943927033. The next prime is 255883943927089. The reversal of 255883943927040 is 40729349388552.

255883943927040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 252600141574 + ... + 252600142586.

It is an arithmetic number, because the mean of its divisors is an integer number (308736879360).

Almost surely, 2^{255883943927040} is an apocalyptic number.

255883943927040 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 255883943927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533497327534080).

255883943927040 is an abundant number, since it is smaller than the sum of its proper divisors (811110711141120).

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

255883943927040 is a wasteful number, since it uses less digits than its factorization.

255883943927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 69.

The spelling of 255883943927040 in words is "two hundred fifty-five trillion, eight hundred eighty-three billion, nine hundred forty-three million, nine hundred twenty-seven thousand, forty".