48382850880 has 1344 divisors, whose sum is σ = 218907360000. Its totient is φ = 9967878144.

The previous prime is 48382850863. The next prime is 48382850891. The reversal of 48382850880 is 8805828384.

48382850880 is a `hidden beast` number, since 4 + 8 + 38 + 28 + 508 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 324717046 + ... + 324717194.

It is an arithmetic number, because the mean of its divisors is an integer number (162877500).

Almost surely, 2^48382850880 is an apocalyptic number.

48382850880 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 48382850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109453680000).

48382850880 is an abundant number, since it is smaller than the sum of its proper divisors (170524509120).

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

48382850880 is a wasteful number, since it uses less digits than its factorization.

48382850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 48382850880 in words is "forty-eight billion, three hundred eighty-two million, eight hundred fifty thousand, eight hundred eighty".