48905525760 has 1280 divisors, whose sum is σ = 211186483200. Its totient is φ = 9364045824.

The previous prime is 48905525759. The next prime is 48905525783. The reversal of 48905525760 is 6752550984.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 385082817 + ... + 385082943.

It is an arithmetic number, because the mean of its divisors is an integer number (164989440).

Almost surely, 2^48905525760 is an apocalyptic number.

48905525760 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 48905525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105593241600).

48905525760 is an abundant number, since it is smaller than the sum of its proper divisors (162280957440).

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

48905525760 is a wasteful number, since it uses less digits than its factorization.

48905525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 48905525760 in words is "forty-eight billion, nine hundred five million, five hundred twenty-five thousand, seven hundred sixty".