255200310024000 has 896 divisors, whose sum is σ = 926135746099200. Its totient is φ = 61406525440000.

The previous prime is 255200310023941. The next prime is 255200310024061. The reversal of 255200310024000 is 420013002552.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26888659255 + ... + 26888668745.

It is an arithmetic number, because the mean of its divisors is an integer number (1033633645200).

Almost surely, 2^{255200310024000} is an apocalyptic number.

255200310024000 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 255200310024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463067873049600).

255200310024000 is an abundant number, since it is smaller than the sum of its proper divisors (670935436075200).

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

255200310024000 is a wasteful number, since it uses less digits than its factorization.

255200310024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10280 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 255200310024000 its reverse (420013002552), we get a palindrome (255620323026552).

The spelling of 255200310024000 in words is "two hundred fifty-five trillion, two hundred billion, three hundred ten million, twenty-four thousand".