253848625800 has 576 divisors, whose sum is σ = 1003079816640. Its totient is φ = 52512768000.

The previous prime is 253848625799. The next prime is 253848625801. The reversal of 253848625800 is 8526848352.

It is an interprime number because it is at equal distance from previous prime (253848625799) and next prime (253848625801).

It is not an unprimeable number, because it can be changed into a prime (253848625801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 77937772 + ... + 77941028.

It is an arithmetic number, because the mean of its divisors is an integer number (1741458015).

Almost surely, 2^253848625800 is an apocalyptic number.

253848625800 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 253848625800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501539908320).

253848625800 is an abundant number, since it is smaller than the sum of its proper divisors (749231190840).

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

253848625800 is a wasteful number, since it uses less digits than its factorization.

253848625800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 253848625800 in words is "two hundred fifty-three billion, eight hundred forty-eight million, six hundred twenty-five thousand, eight hundred".