255134150726400 has 5184 divisors, whose sum is σ = 1133284001181696. Its totient is φ = 54018441216000.

The previous prime is 255134150726359. The next prime is 255134150726401. The reversal of 255134150726400 is 4627051431552.

255134150726400 is a `hidden beast` number, since 2 + 5 + 5 + 134 + 1 + 507 + 2 + 6 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (255134150726401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1321938604704 + ... + 1321938604896.

It is an arithmetic number, because the mean of its divisors is an integer number (218611882944).

Almost surely, 2^{255134150726400} is an apocalyptic number.

255134150726400 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 255134150726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566642000590848).

255134150726400 is an abundant number, since it is smaller than the sum of its proper divisors (878149850455296).

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

255134150726400 is a wasteful number, since it uses less digits than its factorization.

255134150726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 255134150726400 in words is "two hundred fifty-five trillion, one hundred thirty-four billion, one hundred fifty million, seven hundred twenty-six thousand, four hundred".