255362105718720 has 10752 divisors, whose sum is σ = 1352753469849600. Its totient is φ = 45064470528000.

The previous prime is 255362105718677. The next prime is 255362105718721. The reversal of 255362105718720 is 27817501263552.

255362105718720 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 62 + 1 + 0 + 571 + 8 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255362105718721) by changing a digit.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 3596649376285 + ... + 3596649376355.

It is an arithmetic number, because the mean of its divisors is an integer number (125814124800).

Almost surely, 2^{255362105718720} is an apocalyptic number.

255362105718720 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 255362105718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676376734924800).

255362105718720 is an abundant number, since it is smaller than the sum of its proper divisors (1097391364130880).

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

255362105718720 is a wasteful number, since it uses less digits than its factorization.

255362105718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 255362105718720 in words is "two hundred fifty-five trillion, three hundred sixty-two billion, one hundred five million, seven hundred eighteen thousand, seven hundred twenty".