48080484000 has 288 divisors, whose sum is σ = 171009558720. Its totient is φ = 12793536000.

The previous prime is 48080483999. The next prime is 48080484019. The reversal of 48080484000 is 48408084.

48080484000 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 (288).

It is a super-3 number, since 3×48080484000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20554831 + ... + 20557169.

It is an arithmetic number, because the mean of its divisors is an integer number (593783190).

Almost surely, 2^48080484000 is an apocalyptic number.

48080484000 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 48080484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85504779360).

48080484000 is an abundant number, since it is smaller than the sum of its proper divisors (122929074720).

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

48080484000 is a wasteful number, since it uses less digits than its factorization.

48080484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 48080484000 in words is "forty-eight billion, eighty million, four hundred eighty-four thousand".