255783951360 has 1320 divisors, whose sum is σ = 1095795028944. Its totient is φ = 56853135360.

The previous prime is 255783951341. The next prime is 255783951361. The reversal of 255783951360 is 63159387552.

255783951360 is a `hidden beast` number, since 2 + 5 + 578 + 3 + 9 + 5 + 1 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 255783951297 and 255783951306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255783951361) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 833172327 + ... + 833172633.

Almost surely, 2^255783951360 is an apocalyptic number.

255783951360 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 255783951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547897514472).

255783951360 is an abundant number, since it is smaller than the sum of its proper divisors (840011077584).

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

255783951360 is a wasteful number, since it uses less digits than its factorization.

255783951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 255783951360 in words is "two hundred fifty-five billion, seven hundred eighty-three million, nine hundred fifty-one thousand, three hundred sixty".