255301646103552 has 176 divisors, whose sum is σ = 693933157209600. Its totient is φ = 83425114152960.

The previous prime is 255301646103547. The next prime is 255301646103557.

255301646103552 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (255301646103547) and next prime (255301646103557).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255301646103557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63106227 + ... + 67029837.

It is an arithmetic number, because the mean of its divisors is an integer number (3942802029600).

Almost surely, 2^{255301646103552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255301646103552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346966578604800).

255301646103552 is an abundant number, since it is smaller than the sum of its proper divisors (438631511106048).

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

255301646103552 is a wasteful number, since it uses less digits than its factorization.

255301646103552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924052 (or 3924034 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 255301646103552 in words is "two hundred fifty-five trillion, three hundred one billion, six hundred forty-six million, one hundred three thousand, five hundred fifty-two".