48583792320 has 224 divisors, whose sum is σ = 176423116800. Its totient is φ = 11096469504.

The previous prime is 48583792303. The next prime is 48583792349. The reversal of 48583792320 is 2329738584.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15044466 + ... + 15047694.

It is an arithmetic number, because the mean of its divisors is an integer number (787603200).

Almost surely, 2^48583792320 is an apocalyptic number.

48583792320 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 48583792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88211558400).

48583792320 is an abundant number, since it is smaller than the sum of its proper divisors (127839324480).

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

48583792320 is a wasteful number, since it uses less digits than its factorization.

48583792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 48583792320 in words is "forty-eight billion, five hundred eighty-three million, seven hundred ninety-two thousand, three hundred twenty".