255057513965440 has 128 divisors (see below), whose sum is σ = 611512941268800. Its totient is φ = 101727542771712.

The previous prime is 255057513965377. The next prime is 255057513965477. The reversal of 255057513965440 is 44569315750552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5311129269 + ... + 5311177291.

Almost surely, 2^{255057513965440} is an apocalyptic number.

255057513965440 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 255057513965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305756470634400).

255057513965440 is an abundant number, since it is smaller than the sum of its proper divisors (356455427303360).

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

255057513965440 is a wasteful number, since it uses less digits than its factorization.

255057513965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71904 (or 71892 counting only the distinct ones).

The product of its (nonzero) digits is 113400000, while the sum is 61.

The spelling of 255057513965440 in words is "two hundred fifty-five trillion, fifty-seven billion, five hundred thirteen million, nine hundred sixty-five thousand, four hundred forty".