48005788320 has 384 divisors, whose sum is σ = 194191603200. Its totient is φ = 10848854016.

The previous prime is 48005788307. The next prime is 48005788331. The reversal of 48005788320 is 2388750084.

48005788320 is a `hidden beast` number, since 48 + 0 + 0 + 578 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 2682442 + ... + 2700278.

It is an arithmetic number, because the mean of its divisors is an integer number (505707300).

Almost surely, 2^48005788320 is an apocalyptic number.

48005788320 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 48005788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97095801600).

48005788320 is an abundant number, since it is smaller than the sum of its proper divisors (146185814880).

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

48005788320 is a wasteful number, since it uses less digits than its factorization.

48005788320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17957 (or 17943 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 48005788320 in words is "forty-eight billion, five million, seven hundred eighty-eight thousand, three hundred twenty".