48595489920 has 576 divisors, whose sum is σ = 177789867840. Its totient is φ = 12697896960.

The previous prime is 48595489913. The next prime is 48595489937. The reversal of 48595489920 is 2998459584.

48595489920 is a `hidden beast` number, since 4 + 85 + 9 + 548 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 298131759 + ... + 298131921.

It is an arithmetic number, because the mean of its divisors is an integer number (308662965).

Almost surely, 2^48595489920 is an apocalyptic number.

48595489920 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 48595489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88894933920).

48595489920 is an abundant number, since it is smaller than the sum of its proper divisors (129194377920).

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

48595489920 is an frugal number, since it uses more digits than its factorization.

48595489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 48595489920 in words is "forty-eight billion, five hundred ninety-five million, four hundred eighty-nine thousand, nine hundred twenty".