255638067104 has 96 divisors (see below), whose sum is σ = 589344497280. Its totient is φ = 106869030912.

The previous prime is 255638067101. The next prime is 255638067119. The reversal of 255638067104 is 401760836552.

255638067104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (255638067101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7389752 + ... + 7424264.

It is an arithmetic number, because the mean of its divisors is an integer number (6139005180).

Almost surely, 2^255638067104 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 255638067104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294672248640).

255638067104 is an abundant number, since it is smaller than the sum of its proper divisors (333706430176).

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

255638067104 is a wasteful number, since it uses less digits than its factorization.

255638067104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35342 (or 35334 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 255638067104 in words is "two hundred fifty-five billion, six hundred thirty-eight million, sixty-seven thousand, one hundred four".