255720919104 has 560 divisors, whose sum is σ = 894212860288. Its totient is φ = 70731988992.

The previous prime is 255720919081. The next prime is 255720919121. The reversal of 255720919104 is 401919027552.

255720919104 is a `hidden beast` number, since 2 + 557 + 2 + 0 + 9 + 1 + 91 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 255720919104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 379971312 + ... + 379971984.

Almost surely, 2^255720919104 is an apocalyptic number.

255720919104 is a gapful number since it is divisible by the number (24) 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 255720919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447106430144).

255720919104 is an abundant number, since it is smaller than the sum of its proper divisors (638491941184).

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

255720919104 is a wasteful number, since it uses less digits than its factorization.

255720919104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 255720919104 in words is "two hundred fifty-five billion, seven hundred twenty million, nine hundred nineteen thousand, one hundred four".