48793320576 has 1536 divisors, whose sum is σ = 211718707200. Its totient is φ = 10351411200.

The previous prime is 48793320503. The next prime is 48793320607. The reversal of 48793320576 is 67502339784.

48793320576 is a `hidden beast` number, since 48 + 7 + 9 + 3 + 3 + 20 + 576 = 666.

48793320576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 372468031 + ... + 372468161.

It is an arithmetic number, because the mean of its divisors is an integer number (137837700).

Almost surely, 2^48793320576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48793320576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105859353600).

48793320576 is an abundant number, since it is smaller than the sum of its proper divisors (162925386624).

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

48793320576 is a wasteful number, since it uses less digits than its factorization.

48793320576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 48793320576 in words is "forty-eight billion, seven hundred ninety-three million, three hundred twenty thousand, five hundred seventy-six".