255396810240 has 1920 divisors, whose sum is σ = 1124609270400. Its totient is φ = 55180984320.

The previous prime is 255396810223. The next prime is 255396810247. The reversal of 255396810240 is 42018693552.

255396810240 is a `hidden beast` number, since 2 + 5 + 5 + 396 + 8 + 10 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255396810247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8806786546 + ... + 8806786574.

It is an arithmetic number, because the mean of its divisors is an integer number (585733995).

Almost surely, 2^255396810240 is an apocalyptic number.

255396810240 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 255396810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562304635200).

255396810240 is an abundant number, since it is smaller than the sum of its proper divisors (869212460160).

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

255396810240 is an equidigital number, since it uses as much as digits as its factorization.

255396810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 255396810240 in words is "two hundred fifty-five billion, three hundred ninety-six million, eight hundred ten thousand, two hundred forty".