255718848342960 has 480 divisors, whose sum is σ = 902050875048960. Its totient is φ = 64796194670592.

The previous prime is 255718848342877. The next prime is 255718848343003. The reversal of 255718848342960 is 69243848817552.

255718848342960 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 1 + 88 + 483 + 4 + 2 + 9 + 60 = 666.

255718848342960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4610094106 + ... + 4610149574.

It is an arithmetic number, because the mean of its divisors is an integer number (1879272656352).

It is a 2-persistent number, because it is pandigital, and so is 2⋅255718848342960 = 511437696685920, but 3⋅255718848342960 = 767156545028880 is not.

Almost surely, 2^{255718848342960} is an apocalyptic number.

255718848342960 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 255718848342960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451025437524480).

255718848342960 is an abundant number, since it is smaller than the sum of its proper divisors (646332026706000).

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

255718848342960 is a wasteful number, since it uses less digits than its factorization.

255718848342960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57345 (or 57336 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 255718848342960 in words is "two hundred fifty-five trillion, seven hundred eighteen billion, eight hundred forty-eight million, three hundred forty-two thousand, nine hundred sixty".