255149777054304 has 504 divisors, whose sum is σ = 831453800017680. Its totient is φ = 76980285550080.

The previous prime is 255149777054297. The next prime is 255149777054351. The reversal of 255149777054304 is 403450777941552.

It is a happy number.

255149777054304 is a `hidden beast` number, since 2 + 5 + 5 + 14 + 9 + 7 + 7 + 70 + 543 + 0 + 4 = 666.

255149777054304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×255149777054304² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 646198189 + ... + 646592915.

It is an arithmetic number, because the mean of its divisors is an integer number (1649709920670).

Almost surely, 2^{255149777054304} is an apocalyptic number.

255149777054304 is a gapful number since it is divisible by the number (24) 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 255149777054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415726900008840).

255149777054304 is an abundant number, since it is smaller than the sum of its proper divisors (576304022963376).

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

255149777054304 is a wasteful number, since it uses less digits than its factorization.

255149777054304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395006 (or 394972 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 255149777054304 in words is "two hundred fifty-five trillion, one hundred forty-nine billion, seven hundred seventy-seven million, fifty-four thousand, three hundred four".