248750952800 has 144 divisors (see below), whose sum is σ = 699010260480. Its totient is φ = 84672207360.

The previous prime is 248750952787. The next prime is 248750952803. The reversal of 248750952800 is 8259057842.

248750952800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248750952803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618617 + ... + 938183.

It is an arithmetic number, because the mean of its divisors is an integer number (4854237920).

Almost surely, 2^248750952800 is an apocalyptic number.

248750952800 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 248750952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349505130240).

248750952800 is an abundant number, since it is smaller than the sum of its proper divisors (450259307680).

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

248750952800 is a wasteful number, since it uses less digits than its factorization.

248750952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319733 (or 319720 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 248750952800 in words is "two hundred forty-eight billion, seven hundred fifty million, nine hundred fifty-two thousand, eight hundred".