48912960096 has 288 divisors, whose sum is σ = 186759675648. Its totient is φ = 11727313920.

The previous prime is 48912960079. The next prime is 48912960119. The reversal of 48912960096 is 69006921984.

48912960096 is a `hidden beast` number, since 4 + 8 + 9 + 1 + 29 + 600 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203455 + ... + 373121.

It is an arithmetic number, because the mean of its divisors is an integer number (648471096).

Almost surely, 2^48912960096 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 48912960096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93379837824).

48912960096 is an abundant number, since it is smaller than the sum of its proper divisors (137846715552).

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

48912960096 is a wasteful number, since it uses less digits than its factorization.

48912960096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169714 (or 169703 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 48912960096 in words is "forty-eight billion, nine hundred twelve million, nine hundred sixty thousand, ninety-six".