48120328960 has 144 divisors (see below), whose sum is σ = 128810116512. Its totient is φ = 17071308800.

The previous prime is 48120328957. The next prime is 48120328999. The reversal of 48120328960 is 6982302184.

It is a super-2 number, since 2×48120328960² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535602 + ... + 618958.

It is an arithmetic number, because the mean of its divisors is an integer number (894514698).

Almost surely, 2^48120328960 is an apocalyptic number.

48120328960 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 48120328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64405058256).

48120328960 is an abundant number, since it is smaller than the sum of its proper divisors (80689787552).

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

48120328960 is a wasteful number, since it uses less digits than its factorization.

48120328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83430 (or 83416 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 48120328960 in words is "forty-eight billion, one hundred twenty million, three hundred twenty-eight thousand, nine hundred sixty".