255231332400 has 240 divisors, whose sum is σ = 892615547520. Its totient is φ = 61825843200.

The previous prime is 255231332351. The next prime is 255231332449. The reversal of 255231332400 is 4233132552.

It is an interprime number because it is at equal distance from previous prime (255231332351) and next prime (255231332449).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18591939 + ... + 18605661.

It is an arithmetic number, because the mean of its divisors is an integer number (3719231448).

Almost surely, 2^255231332400 is an apocalyptic number.

255231332400 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 255231332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446307773760).

255231332400 is an abundant number, since it is smaller than the sum of its proper divisors (637384215120).

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

255231332400 is a wasteful number, since it uses less digits than its factorization.

255231332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15164 (or 15153 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 255231332400 its reverse (4233132552), we get a palindrome (259464464952).

The spelling of 255231332400 in words is "two hundred fifty-five billion, two hundred thirty-one million, three hundred thirty-two thousand, four hundred".