255742479360 has 440 divisors, whose sum is σ = 937814315856. Its totient is φ = 66607349760.

The previous prime is 255742479277. The next prime is 255742479361. The reversal of 255742479360 is 63974247552.

255742479360 is a `hidden beast` number, since 2 + 5 + 574 + 2 + 4 + 7 + 9 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 255742479297 and 255742479306.

It is not an unprimeable number, because it can be changed into a prime (255742479361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17825790 + ... + 17840130.

Almost surely, 2^255742479360 is an apocalyptic number.

255742479360 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 255742479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468907157928).

255742479360 is an abundant number, since it is smaller than the sum of its proper divisors (682071836496).

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

255742479360 is a wasteful number, since it uses less digits than its factorization.

255742479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14421 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 255742479360 in words is "two hundred fifty-five billion, seven hundred forty-two million, four hundred seventy-nine thousand, three hundred sixty".