255733363337552 has 160 divisors (see below), whose sum is σ = 533733769566720. Its totient is φ = 118272003932160.

The previous prime is 255733363337537. The next prime is 255733363337579.

255733363337552 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4302276152 + ... + 4302335592.

It is an arithmetic number, because the mean of its divisors is an integer number (3335836059792).

Almost surely, 2^{255733363337552} 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 255733363337552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266866884783360).

255733363337552 is an abundant number, since it is smaller than the sum of its proper divisors (278000406229168).

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

255733363337552 is a wasteful number, since it uses less digits than its factorization.

255733363337552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60469 (or 60463 counting only the distinct ones).

The product of its digits is 535815000, while the sum is 62.

The spelling of 255733363337552 in words is "two hundred fifty-five trillion, seven hundred thirty-three billion, three hundred sixty-three million, three hundred thirty-seven thousand, five hundred fifty-two".