253347124800 has 1344 divisors, whose sum is σ = 1117528473600. Its totient is φ = 48654950400.

The previous prime is 253347124787. The next prime is 253347124817. The reversal of 253347124800 is 8421743352.

253347124800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 301962781 + ... + 301963619.

It is an arithmetic number, because the mean of its divisors is an integer number (831494400).

Almost surely, 2^253347124800 is an apocalyptic number.

253347124800 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 253347124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558764236800).

253347124800 is an abundant number, since it is smaller than the sum of its proper divisors (864181348800).

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

253347124800 is a wasteful number, since it uses less digits than its factorization.

253347124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 253347124800 in words is "two hundred fifty-three billion, three hundred forty-seven million, one hundred twenty-four thousand, eight hundred".