248875356960 has 288 divisors, whose sum is σ = 906337216512. Its totient is φ = 61970227200.

The previous prime is 248875356959. The next prime is 248875356973. The reversal of 248875356960 is 69653578842.

It is a happy number.

248875356960 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 7 + 5 + 3 + 569 + 60 = 666.

248875356960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3068935 + ... + 3148985.

It is an arithmetic number, because the mean of its divisors is an integer number (3147004224).

Almost surely, 2^248875356960 is an apocalyptic number.

248875356960 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 248875356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453168608256).

248875356960 is an abundant number, since it is smaller than the sum of its proper divisors (657461859552).

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

248875356960 is a wasteful number, since it uses less digits than its factorization.

248875356960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80216 (or 80205 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 248875356960 in words is "two hundred forty-eight billion, eight hundred seventy-five million, three hundred fifty-six thousand, nine hundred sixty".