253581199960 has 128 divisors (see below), whose sum is σ = 646446873600. Its totient is φ = 88719324160.

The previous prime is 253581199951. The next prime is 253581200017. The reversal of 253581199960 is 69991185352.

It is a junction number, because it is equal to n+sod(n) for n = 253581199895 and 253581199904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116204 + ... + 1324036.

It is an arithmetic number, because the mean of its divisors is an integer number (5050366200).

Almost surely, 2^253581199960 is an apocalyptic number.

253581199960 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 253581199960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323223436800).

253581199960 is an abundant number, since it is smaller than the sum of its proper divisors (392865673640).

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

253581199960 is a wasteful number, since it uses less digits than its factorization.

253581199960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207961 (or 207957 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 58.

The spelling of 253581199960 in words is "two hundred fifty-three billion, five hundred eighty-one million, one hundred ninety-nine thousand, nine hundred sixty".