253312227840 has 320 divisors, whose sum is σ = 939321022464. Its totient is φ = 57034948608.

The previous prime is 253312227739. The next prime is 253312227881. The reversal of 253312227840 is 48722213352.

253312227840 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 (320).

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 31 ways as a sum of consecutive naturals, for example, 3566757 + ... + 3637083.

Almost surely, 2^253312227840 is an apocalyptic number.

253312227840 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 253312227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469660511232).

253312227840 is an abundant number, since it is smaller than the sum of its proper divisors (686008794624).

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

253312227840 is an equidigital number, since it uses as much as digits as its factorization.

253312227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70427 (or 70411 counting only the distinct ones).

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

The spelling of 253312227840 in words is "two hundred fifty-three billion, three hundred twelve million, two hundred twenty-seven thousand, eight hundred forty".