255561165552 has 640 divisors, whose sum is σ = 883815432192. Its totient is φ = 61677158400.

The previous prime is 255561165551. The next prime is 255561165553.

255561165552 is nontrivially palindromic in base 10.

255561165552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255561165551) and next prime (255561165553).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255561165551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 590210328 + ... + 590210760.

Almost surely, 2^255561165552 is an apocalyptic number.

255561165552 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 255561165552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441907716096).

255561165552 is an abundant number, since it is smaller than the sum of its proper divisors (628254266640).

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

255561165552 is a wasteful number, since it uses less digits than its factorization.

255561165552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its digits is 2250000, while the sum is 48.

The spelling of 255561165552 in words is "two hundred fifty-five billion, five hundred sixty-one million, one hundred sixty-five thousand, five hundred fifty-two".