255785955774336 has 768 divisors, whose sum is σ = 872884886328000. Its totient is φ = 73860822466560.

The previous prime is 255785955774331. The next prime is 255785955774337. The reversal of 255785955774336 is 633477559587552.

255785955774336 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 8 + 5 + 9 + 5 + 577 + 4 + 3 + 36 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255785955774331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2398967106 + ... + 2399073726.

Almost surely, 2^{255785955774336} is an apocalyptic number.

255785955774336 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 255785955774336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436442443164000).

255785955774336 is an abundant number, since it is smaller than the sum of its proper divisors (617098930553664).

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

255785955774336 is a wasteful number, since it uses less digits than its factorization.

255785955774336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107029 (or 107005 counting only the distinct ones).

The product of its digits is 33339600000, while the sum is 81.

The spelling of 255785955774336 in words is "two hundred fifty-five trillion, seven hundred eighty-five billion, nine hundred fifty-five million, seven hundred seventy-four thousand, three hundred thirty-six".