255621126552 has 768 divisors, whose sum is σ = 825706414080. Its totient is φ = 65144217600.

The previous prime is 255621126533. The next prime is 255621126601.

It is a happy number.

255621126552 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 191 ways as a sum of consecutive naturals, for example, 2012764713 + ... + 2012764839.

It is an arithmetic number, because the mean of its divisors is an integer number (1075138560).

Almost surely, 2^255621126552 is an apocalyptic number.

255621126552 is a gapful number since it is divisible by the number (22) 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 255621126552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412853207040).

255621126552 is an abundant number, since it is smaller than the sum of its proper divisors (570085287528).

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

255621126552 is a wasteful number, since it uses less digits than its factorization.

255621126552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

The spelling of 255621126552 in words is "two hundred fifty-five billion, six hundred twenty-one million, one hundred twenty-six thousand, five hundred fifty-two".