255005951760 has 960 divisors, whose sum is σ = 1050142310400. Its totient is φ = 55703531520.

The previous prime is 255005951731. The next prime is 255005951899. The reversal of 255005951760 is 67159500552.

255005951760 is a `hidden beast` number, since 2 + 5 + 50 + 0 + 595 + 1 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2007920817 + ... + 2007920943.

It is an arithmetic number, because the mean of its divisors is an integer number (1093898240).

Almost surely, 2^255005951760 is an apocalyptic number.

255005951760 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 255005951760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525071155200).

255005951760 is an abundant number, since it is smaller than the sum of its proper divisors (795136358640).

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

255005951760 is a wasteful number, since it uses less digits than its factorization.

255005951760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 255005951760 in words is "two hundred fifty-five billion, five million, nine hundred fifty-one thousand, seven hundred sixty".