255752551680 has 288 divisors, whose sum is σ = 872157597696. Its totient is φ = 63717384192.

The previous prime is 255752551673. The next prime is 255752551687. The reversal of 255752551680 is 86155257552.

It is an interprime number because it is at equal distance from previous prime (255752551673) and next prime (255752551687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255752551687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3764089 + ... + 3831431.

It is an arithmetic number, because the mean of its divisors is an integer number (3028324992).

Almost surely, 2^255752551680 is an apocalyptic number.

255752551680 is a gapful number since it is divisible by the number (20) 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 255752551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436078798848).

255752551680 is an abundant number, since it is smaller than the sum of its proper divisors (616405046016).

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

255752551680 is a wasteful number, since it uses less digits than its factorization.

255752551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67433 (or 67419 counting only the distinct ones).

The product of its (nonzero) digits is 4200000, while the sum is 51.

The spelling of 255752551680 in words is "two hundred fifty-five billion, seven hundred fifty-two million, five hundred fifty-one thousand, six hundred eighty".