48284739600 has 240 divisors, whose sum is σ = 165068863488. Its totient is φ = 12022456320.

The previous prime is 48284739599. The next prime is 48284739611. The reversal of 48284739600 is 693748284.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 47 ways as a sum of consecutive naturals, for example, 2581482 + ... + 2600118.

Almost surely, 2^48284739600 is an apocalyptic number.

48284739600 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 48284739600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82534431744).

48284739600 is an abundant number, since it is smaller than the sum of its proper divisors (116784123888).

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

48284739600 is a wasteful number, since it uses less digits than its factorization.

48284739600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18802 (or 18791 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 48284739600 in words is "forty-eight billion, two hundred eighty-four million, seven hundred thirty-nine thousand, six hundred".