48048480800320 has 2688 divisors, whose sum is σ = 165651245641728. Its totient is φ = 12873705062400.

The previous prime is 48048480800239. The next prime is 48048480800323. The reversal of 48048480800320 is 2300808484084.

It is not an unprimeable number, because it can be changed into a prime (48048480800323) 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 383 ways as a sum of consecutive naturals, for example, 578897358999 + ... + 578897359081.

It is an arithmetic number, because the mean of its divisors is an integer number (61626207456).

Almost surely, 2^{48048480800320} is an apocalyptic number.

48048480800320 is a gapful number since it is divisible by the number (40) 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 48048480800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82825622820864).

48048480800320 is an abundant number, since it is smaller than the sum of its proper divisors (117602764841408).

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

48048480800320 is a wasteful number, since it uses less digits than its factorization.

48048480800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 49.

The spelling of 48048480800320 in words is "forty-eight trillion, forty-eight billion, four hundred eighty million, eight hundred thousand, three hundred twenty".