255413283840 has 1056 divisors, whose sum is σ = 1054500685056. Its totient is φ = 56345886720.

The previous prime is 255413283773. The next prime is 255413283863. The reversal of 255413283840 is 48382314552.

255413283840 is a `hidden beast` number, since 2 + 5 + 541 + 3 + 28 + 3 + 84 + 0 = 666.

255413283840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 546923287 + ... + 546923753.

Almost surely, 2^255413283840 is an apocalyptic number.

255413283840 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 255413283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527250342528).

255413283840 is an abundant number, since it is smaller than the sum of its proper divisors (799087401216).

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

255413283840 is a wasteful number, since it uses less digits than its factorization.

255413283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 255413283840 in words is "two hundred fifty-five billion, four hundred thirteen million, two hundred eighty-three thousand, eight hundred forty".