255435585120 has 144 divisors (see below), whose sum is σ = 877945657680. Its totient is φ = 67626058752.

The previous prime is 255435585109. The next prime is 255435585127. The reversal of 255435585120 is 21585534552.

255435585120 is a `hidden beast` number, since 2 + 5 + 5 + 43 + 5 + 585 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255435585127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437919 + ... + 838238.

It is an arithmetic number, because the mean of its divisors is an integer number (6096844845).

Almost surely, 2^255435585120 is an apocalyptic number.

255435585120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255435585120 is an abundant number, since it is smaller than the sum of its proper divisors (622510072560).

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

255435585120 is a wasteful number, since it uses less digits than its factorization.

255435585120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276317 (or 1276306 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 255435585120 in words is "two hundred fifty-five billion, four hundred thirty-five million, five hundred eighty-five thousand, one hundred twenty".