253410212240000 has 160 divisors (see below), whose sum is σ = 632656544866500. Its totient is φ = 101073632256000.

The previous prime is 253410212239991. The next prime is 253410212240021. The reversal of 253410212240000 is 42212014352.

It can be written as a sum of positive squares in 10 ways, for example, as 39368396531776 + 214041815708224 = 6274424^2 + 14630168^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23381852 + ... + 32458148.

Almost surely, 2^{253410212240000} is an apocalyptic number.

253410212240000 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 253410212240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316328272433250).

253410212240000 is an abundant number, since it is smaller than the sum of its proper divisors (379246332626500).

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

253410212240000 is an frugal number, since it uses more digits than its factorization.

253410212240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9076680 (or 9076653 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 253410212240000 its reverse (42212014352), we get a palindrome (253452424254352).

The spelling of 253410212240000 in words is "two hundred fifty-three trillion, four hundred ten billion, two hundred twelve million, two hundred forty thousand".