253412521510400 has 240 divisors, whose sum is σ = 719671370617056. Its totient is φ = 86626465873920.

The previous prime is 253412521510373. The next prime is 253412521510483. The reversal of 253412521510400 is 4015125214352.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25998962 + ... + 34391438.

Almost surely, 2^{253412521510400} is an apocalyptic number.

253412521510400 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 253412521510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359835685308528).

253412521510400 is an abundant number, since it is smaller than the sum of its proper divisors (466258849106656).

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

253412521510400 is an equidigital number, since it uses as much as digits as its factorization.

253412521510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392849 (or 8392828 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 253412521510400 its reverse (4015125214352), we get a palindrome (257427646724752).

The spelling of 253412521510400 in words is "two hundred fifty-three trillion, four hundred twelve billion, five hundred twenty-one million, five hundred ten thousand, four hundred".