253828040960 has 144 divisors (see below), whose sum is σ = 667122919344. Its totient is φ = 91952480256.

The previous prime is 253828040957. The next prime is 253828040969. The reversal of 253828040960 is 69040828352.

It can be written as a sum of positive squares in 8 ways, for example, as 5313826816 + 248514214144 = 72896^2 + 498512^2 .

It is not an unprimeable number, because it can be changed into a prime (253828040969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738014 + ... + 1025826.

It is an arithmetic number, because the mean of its divisors is an integer number (4632798051).

Almost surely, 2^253828040960 is an apocalyptic number.

253828040960 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 253828040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333561459672).

253828040960 is an abundant number, since it is smaller than the sum of its proper divisors (413294878384).

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

253828040960 is a wasteful number, since it uses less digits than its factorization.

253828040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287900 (or 287886 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 253828040960 in words is "two hundred fifty-three billion, eight hundred twenty-eight million, forty thousand, nine hundred sixty".