255508579872 has 720 divisors, whose sum is σ = 940124465280. Its totient is φ = 66650148864.

The previous prime is 255508579849. The next prime is 255508579873. The reversal of 255508579872 is 278975805552.

255508579872 is a `hidden beast` number, since 2 + 5 + 5 + 50 + 8 + 579 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255508579873) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 315832204 + ... + 315833012.

It is an arithmetic number, because the mean of its divisors is an integer number (1305728424).

Almost surely, 2^255508579872 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 255508579872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470062232640).

255508579872 is an abundant number, since it is smaller than the sum of its proper divisors (684615885408).

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

255508579872 is a wasteful number, since it uses less digits than its factorization.

255508579872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 63.

The spelling of 255508579872 in words is "two hundred fifty-five billion, five hundred eight million, five hundred seventy-nine thousand, eight hundred seventy-two".