248823960000 has 840 divisors, whose sum is σ = 1044253431936. Its totient is φ = 51690240000.

The previous prime is 248823959887. The next prime is 248823960013. The reversal of 248823960000 is 69328842.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 119 ways as a sum of consecutive naturals, for example, 64678077 + ... + 64681923.

Almost surely, 2^248823960000 is an apocalyptic number.

248823960000 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 248823960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522126715968).

248823960000 is an abundant number, since it is smaller than the sum of its proper divisors (795429471936).

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

248823960000 is a wasteful number, since it uses less digits than its factorization.

248823960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 248823960000 in words is "two hundred forty-eight billion, eight hundred twenty-three million, nine hundred sixty thousand".