255528825552 has 640 divisors, whose sum is σ = 994523013120. Its totient is φ = 60660264960.

The previous prime is 255528825529. The next prime is 255528825631.

255528825552 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 2 + 8 + 82 + 5 + 552 = 666.

255528825552 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44537628 + ... + 44543364.

It is an arithmetic number, because the mean of its divisors is an integer number (1553942208).

Almost surely, 2^255528825552 is an apocalyptic number.

255528825552 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 255528825552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497261506560).

255528825552 is an abundant number, since it is smaller than the sum of its proper divisors (738994187568).

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

255528825552 is a wasteful number, since it uses less digits than its factorization.

255528825552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5876 counting only the distinct ones).

The product of its digits is 16000000, while the sum is 54.

The spelling of 255528825552 in words is "two hundred fifty-five billion, five hundred twenty-eight million, eight hundred twenty-five thousand, five hundred fifty-two".