253404265520 has 160 divisors (see below), whose sum is σ = 682846295040. Its totient is φ = 85658065920.

The previous prime is 253404265519. The next prime is 253404265537. The reversal of 253404265520 is 25562404352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23652965 + ... + 23663675.

It is an arithmetic number, because the mean of its divisors is an integer number (4267789344).

Almost surely, 2^253404265520 is an apocalyptic number.

253404265520 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 253404265520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341423147520).

253404265520 is an abundant number, since it is smaller than the sum of its proper divisors (429442029520).

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

253404265520 is a wasteful number, since it uses less digits than its factorization.

253404265520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11317 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

Adding to 253404265520 its reverse (25562404352), we get a palindrome (278966669872).

The spelling of 253404265520 in words is "two hundred fifty-three billion, four hundred four million, two hundred sixty-five thousand, five hundred twenty".