48075048000 has 1344 divisors, whose sum is σ = 216000884736. Its totient is φ = 9953280000.

The previous prime is 48075047989. The next prime is 48075048019. The reversal of 48075048000 is 84057084.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×48075048000³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 191 ways as a sum of consecutive naturals, for example, 265607910 + ... + 265608090.

It is an arithmetic number, because the mean of its divisors is an integer number (160714944).

Almost surely, 2^48075048000 is an apocalyptic number.

48075048000 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 48075048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000442368).

48075048000 is an abundant number, since it is smaller than the sum of its proper divisors (167925836736).

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

48075048000 is a wasteful number, since it uses less digits than its factorization.

48075048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 48075048000 in words is "forty-eight billion, seventy-five million, forty-eight thousand".