253119842340 has 96 divisors (see below), whose sum is σ = 733128090240. Its totient is φ = 65201780736.

The previous prime is 253119842281. The next prime is 253119842357. The reversal of 253119842340 is 43248911352.

It is a happy number.

253119842340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253119842292 and 253119842301.

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, 101557 + ... + 718716.

It is an arithmetic number, because the mean of its divisors is an integer number (7636750940).

Almost surely, 2^253119842340 is an apocalyptic number.

253119842340 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 253119842340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366564045120).

253119842340 is an abundant number, since it is smaller than the sum of its proper divisors (480008247900).

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

253119842340 is a wasteful number, since it uses less digits than its factorization.

253119842340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820461 (or 820459 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 253119842340 in words is "two hundred fifty-three billion, one hundred nineteen million, eight hundred forty-two thousand, three hundred forty".