255203520000 has 1200 divisors, whose sum is σ = 1011614992080. Its totient is φ = 57108480000.

The previous prime is 255203519927. The next prime is 255203520007. The reversal of 255203520000 is 25302552.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255203520007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19631039994 + ... + 19631040006.

Almost surely, 2^255203520000 is an apocalyptic number.

255203520000 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 255203520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505807496040).

255203520000 is an abundant number, since it is smaller than the sum of its proper divisors (756411472080).

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

255203520000 is an frugal number, since it uses more digits than its factorization.

255203520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

Adding to 255203520000 its reverse (25302552), we get a palindrome (255228822552).

The spelling of 255203520000 in words is "two hundred fifty-five billion, two hundred three million, five hundred twenty thousand".