255463040364552 has 256 divisors, whose sum is σ = 726864548659200. Its totient is φ = 83111084259840.

The previous prime is 255463040364547. The next prime is 255463040364599.

255463040364552 is a `hidden beast` number, since 2 + 5 + 5 + 46 + 3 + 0 + 40 + 3 + 6 + 4 + 552 = 666.

255463040364552 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×255463040364552² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1536934233 + ... + 1537100439.

It is an arithmetic number, because the mean of its divisors is an integer number (2839314643200).

Almost surely, 2^{255463040364552} 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 255463040364552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363432274329600).

255463040364552 is an abundant number, since it is smaller than the sum of its proper divisors (471401508294648).

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

255463040364552 is a wasteful number, since it uses less digits than its factorization.

255463040364552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167313 (or 167303 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

The spelling of 255463040364552 in words is "two hundred fifty-five trillion, four hundred sixty-three billion, forty million, three hundred sixty-four thousand, five hundred fifty-two".