248801535160 has 128 divisors (see below), whose sum is σ = 599909587200. Its totient is φ = 92594810880.

The previous prime is 248801535133. The next prime is 248801535181. The reversal of 248801535160 is 61535108842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9644439 + ... + 9670201.

It is an arithmetic number, because the mean of its divisors is an integer number (4686793650).

Almost surely, 2^248801535160 is an apocalyptic number.

248801535160 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 248801535160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299954793600).

248801535160 is an abundant number, since it is smaller than the sum of its proper divisors (351108052040).

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

248801535160 is a wasteful number, since it uses less digits than its factorization.

248801535160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26021 (or 26017 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 248801535160 in words is "two hundred forty-eight billion, eight hundred one million, five hundred thirty-five thousand, one hundred sixty".