255946023365760 has 9216 divisors, whose sum is σ = 1303224878592000. Its totient is φ = 46685692624896.

The previous prime is 255946023365731. The next prime is 255946023365831. The reversal of 255946023365760 is 67563320649552.

255946023365760 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 4 + 6 + 0 + 23 + 36 + 576 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3506109909084 + ... + 3506109909156.

It is an arithmetic number, because the mean of its divisors is an integer number (141408949500).

Almost surely, 2^{255946023365760} is an apocalyptic number.

255946023365760 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 255946023365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651612439296000).

255946023365760 is an abundant number, since it is smaller than the sum of its proper divisors (1047278855226240).

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

255946023365760 is a wasteful number, since it uses less digits than its factorization.

255946023365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 63.

The spelling of 255946023365760 in words is "two hundred fifty-five trillion, nine hundred forty-six billion, twenty-three million, three hundred sixty-five thousand, seven hundred sixty".