253325030400 has 792 divisors, whose sum is σ = 989533228320. Its totient is φ = 61545185280.

The previous prime is 253325030377. The next prime is 253325030449. The reversal of 253325030400 is 4030523352.

253325030400 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 250 + 3 + 0 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248601091 + ... + 248602109.

Almost surely, 2^253325030400 is an apocalyptic number.

253325030400 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 253325030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494766614160).

253325030400 is an abundant number, since it is smaller than the sum of its proper divisors (736208197920).

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

253325030400 is a wasteful number, since it uses less digits than its factorization.

253325030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 253325030400 its reverse (4030523352), we get a palindrome (257355553752).

The spelling of 253325030400 in words is "two hundred fifty-three billion, three hundred twenty-five million, thirty thousand, four hundred".