248889071200 has 864 divisors, whose sum is σ = 859861215360. Its totient is φ = 69131059200.

The previous prime is 248889071173. The next prime is 248889071201. The reversal of 248889071200 is 2170988842.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248889071201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139276707 + ... + 139278493.

It is an arithmetic number, because the mean of its divisors is an integer number (995209740).

Almost surely, 2^248889071200 is an apocalyptic number.

248889071200 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 248889071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429930607680).

248889071200 is an abundant number, since it is smaller than the sum of its proper divisors (610972144160).

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

248889071200 is a wasteful number, since it uses less digits than its factorization.

248889071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The spelling of 248889071200 in words is "two hundred forty-eight billion, eight hundred eighty-nine million, seventy-one thousand, two hundred".