48785950080 has 640 divisors, whose sum is σ = 200313622080. Its totient is φ = 11083972608.

The previous prime is 48785950079. The next prime is 48785950117. The reversal of 48785950080 is 8005958784.

48785950080 is a `hidden beast` number, since 4 + 8 + 7 + 8 + 59 + 500 + 80 = 666.

48785950080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48785949999 and 48785950026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84550752 + ... + 84551328.

Almost surely, 2^48785950080 is an apocalyptic number.

48785950080 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 48785950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100156811040).

48785950080 is an abundant number, since it is smaller than the sum of its proper divisors (151527672000).

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

48785950080 is a wasteful number, since it uses less digits than its factorization.

48785950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 48785950080 in words is "forty-eight billion, seven hundred eighty-five million, nine hundred fifty thousand, eighty".