253270816000 has 72 divisors (see below), whose sum is σ = 630929341224. Its totient is φ = 101308313600.

The previous prime is 253270815989. The next prime is 253270816061. The reversal of 253270816000 is 618072352.

It is a happy number.

253270816000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46180290816 + 207090525184 = 214896^2 + 455072^2 .

It is a super-2 number, since 2×253270816000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3925357 + ... + 3989356.

It is an arithmetic number, because the mean of its divisors is an integer number (8762907517).

Almost surely, 2^253270816000 is an apocalyptic number.

253270816000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253270816000 is an abundant number, since it is smaller than the sum of its proper divisors (377658525224).

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

253270816000 is an frugal number, since it uses more digits than its factorization.

253270816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914744 (or 7914720 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 253270816000 its reverse (618072352), we get a palindrome (253888888352).

The spelling of 253270816000 in words is "two hundred fifty-three billion, two hundred seventy million, eight hundred sixteen thousand".