253051716400 has 240 divisors, whose sum is σ = 702306795520. Its totient is φ = 85828377600.

The previous prime is 253051716367. The next prime is 253051716451. The reversal of 253051716400 is 4617150352.

253051716400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156107590 + ... + 156109210.

Almost surely, 2^253051716400 is an apocalyptic number.

253051716400 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 253051716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351153397760).

253051716400 is an abundant number, since it is smaller than the sum of its proper divisors (449255079120).

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

253051716400 is a wasteful number, since it uses less digits than its factorization.

253051716400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

Adding to 253051716400 its reverse (4617150352), we get a palindrome (257668866752).

The spelling of 253051716400 in words is "two hundred fifty-three billion, fifty-one million, seven hundred sixteen thousand, four hundred".