255209424000 has 256 divisors, whose sum is σ = 868890672000. Its totient is φ = 66216038400.

The previous prime is 255209423981. The next prime is 255209424023. The reversal of 255209424000 is 424902552.

It is a super-3 number, since 3×255209424000³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1704151 + ... + 1847849.

Almost surely, 2^255209424000 is an apocalyptic number.

255209424000 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 255209424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434445336000).

255209424000 is an abundant number, since it is smaller than the sum of its proper divisors (613681248000).

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

255209424000 is a wasteful number, since it uses less digits than its factorization.

255209424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143768 (or 143746 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 255209424000 in words is "two hundred fifty-five billion, two hundred nine million, four hundred twenty-four thousand".