253034280000 has 700 divisors, whose sum is σ = 969971494140. Its totient is φ = 65124864000.

The previous prime is 253034279929. The next prime is 253034280007. The reversal of 253034280000 is 82430352.

It can be written as a sum of positive squares in 10 ways, for example, as 201399898176 + 51634381824 = 448776^2 + 227232^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (253034280007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 93958654 + ... + 93961346.

Almost surely, 2^253034280000 is an apocalyptic number.

253034280000 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 253034280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484985747070).

253034280000 is an abundant number, since it is smaller than the sum of its proper divisors (716937214140).

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

253034280000 is an equidigital number, since it uses as much as digits as its factorization.

253034280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 253034280000 in words is "two hundred fifty-three billion, thirty-four million, two hundred eighty thousand".