255474238795776 has 2496 divisors, whose sum is σ = 1048675932595200. Its totient is φ = 61240859688960.

The previous prime is 255474238795729. The next prime is 255474238795817. The reversal of 255474238795776 is 677597832474552.

255474238795776 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 7 + 4 + 2 + 38 + 7 + 9 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 255474238795695 and 255474238795704.

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 191 ways as a sum of consecutive naturals, for example, 48819840456 + ... + 48819845688.

It is an arithmetic number, because the mean of its divisors is an integer number (420142601200).

Almost surely, 2^{255474238795776} is an apocalyptic number.

255474238795776 is a gapful number since it is divisible by the number (26) 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 255474238795776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524337966297600).

255474238795776 is an abundant number, since it is smaller than the sum of its proper divisors (793201693799424).

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

255474238795776 is an equidigital number, since it uses as much as digits as its factorization.

255474238795776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317 (or 5269 counting only the distinct ones).

The product of its digits is 24893568000, while the sum is 81.

The spelling of 255474238795776 in words is "two hundred fifty-five trillion, four hundred seventy-four billion, two hundred thirty-eight million, seven hundred ninety-five thousand, seven hundred seventy-six".