48270288000 has 384 divisors, whose sum is σ = 175906523520. Its totient is φ = 11700480000.

The previous prime is 48270287999. The next prime is 48270288037. The reversal of 48270288000 is 88207284.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 48270288000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5803845 + ... + 5812155.

It is an arithmetic number, because the mean of its divisors is an integer number (458089905).

Almost surely, 2^48270288000 is an apocalyptic number.

48270288000 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 48270288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87953261760).

48270288000 is an abundant number, since it is smaller than the sum of its proper divisors (127636235520).

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

48270288000 is a wasteful number, since it uses less digits than its factorization.

48270288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8365 (or 8332 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 48270288000 in words is "forty-eight billion, two hundred seventy million, two hundred eighty-eight thousand".