255402105274368 has 2048 divisors, whose sum is σ = 896292311040000. Its totient is φ = 71166748262400.

The previous prime is 255402105274321. The next prime is 255402105274373. The reversal of 255402105274368 is 863472501204552.

255402105274368 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 0 + 2 + 1 + 0 + 5 + 274 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1210436517783 + ... + 1210436517993.

It is an arithmetic number, because the mean of its divisors is an integer number (437642730000).

Almost surely, 2^{255402105274368} 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 255402105274368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448146155520000).

255402105274368 is an abundant number, since it is smaller than the sum of its proper divisors (640890205765632).

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

255402105274368 is a wasteful number, since it uses less digits than its factorization.

255402105274368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 255402105274368 in words is "two hundred fifty-five trillion, four hundred two billion, one hundred five million, two hundred seventy-four thousand, three hundred sixty-eight".