253402400000000 has 216 divisors, whose sum is σ = 633353010684030. Its totient is φ = 101360640000000.

The previous prime is 253402399999999. The next prime is 253402400000173. The reversal of 253402400000000 is 4204352.

It can be written as a sum of positive squares in 9 ways, for example, as 252812035204096 + 590364795904 = 15900064^2 + 768352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 17 ways as a sum of consecutive naturals, for example, 799841624 + ... + 800158376.

Almost surely, 2^{253402400000000} is an apocalyptic number.

253402400000000 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 253402400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316676505342015).

253402400000000 is an abundant number, since it is smaller than the sum of its proper divisors (379950610684030).

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

253402400000000 is an frugal number, since it uses more digits than its factorization.

253402400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316815 (or 316760 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 253402400000000 its reverse (4204352), we get a palindrome (253402404204352).

The spelling of 253402400000000 in words is "two hundred fifty-three trillion, four hundred two billion, four hundred million", and thus it is an aban number.