248982251760 has 960 divisors, whose sum is σ = 1006143936000. Its totient is φ = 57090147840.

The previous prime is 248982251701. The next prime is 248982251773. The reversal of 248982251760 is 67152289842.

248982251760 is a `hidden beast` number, since 2 + 48 + 9 + 8 + 22 + 517 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 248982251697 and 248982251706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 402232731 + ... + 402233349.

It is an arithmetic number, because the mean of its divisors is an integer number (1048066600).

Almost surely, 2^248982251760 is an apocalyptic number.

248982251760 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 248982251760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503071968000).

248982251760 is an abundant number, since it is smaller than the sum of its proper divisors (757161684240).

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

248982251760 is a wasteful number, since it uses less digits than its factorization.

248982251760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 248982251760 in words is "two hundred forty-eight billion, nine hundred eighty-two million, two hundred fifty-one thousand, seven hundred sixty".