253421434452000 has 384 divisors, whose sum is σ = 832773943991808. Its totient is φ = 67370434560000.

The previous prime is 253421434451959. The next prime is 253421434452001. The reversal of 253421434452000 is 254434124352.

It is a self number, because there is not a number n which added to its sum of digits gives 253421434452000.

It is not an unprimeable number, because it can be changed into a prime (253421434452001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8579781232 + ... + 8579810768.

It is an arithmetic number, because the mean of its divisors is an integer number (2168682145812).

Almost surely, 2^{253421434452000} is an apocalyptic number.

253421434452000 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 253421434452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416386971995904).

253421434452000 is an abundant number, since it is smaller than the sum of its proper divisors (579352509539808).

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

253421434452000 is a wasteful number, since it uses less digits than its factorization.

253421434452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31749 (or 31731 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 253421434452000 its reverse (254434124352), we get a palindrome (253675868576352).

The spelling of 253421434452000 in words is "two hundred fifty-three trillion, four hundred twenty-one billion, four hundred thirty-four million, four hundred fifty-two thousand".