248270405120 has 320 divisors, whose sum is σ = 633460455936. Its totient is φ = 93130752000.

The previous prime is 248270405111. The next prime is 248270405153. The reversal of 248270405120 is 21504072842.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 989124995 + ... + 989125245.

Almost surely, 2^248270405120 is an apocalyptic number.

248270405120 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 248270405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316730227968).

248270405120 is an abundant number, since it is smaller than the sum of its proper divisors (385190050816).

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

248270405120 is a wasteful number, since it uses less digits than its factorization.

248270405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

Adding to 248270405120 its reverse (21504072842), we get a palindrome (269774477962).

The spelling of 248270405120 in words is "two hundred forty-eight billion, two hundred seventy million, four hundred five thousand, one hundred twenty".