48039427200 has 192 divisors, whose sum is σ = 159109816320. Its totient is φ = 12739276800.

The previous prime is 48039427129. The next prime is 48039427201. The reversal of 48039427200 is 272493084.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (48039427201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1723777 + ... + 1751423.

It is an arithmetic number, because the mean of its divisors is an integer number (828696960).

Almost surely, 2^48039427200 is an apocalyptic number.

48039427200 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 48039427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79554908160).

48039427200 is an abundant number, since it is smaller than the sum of its proper divisors (111070389120).

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

48039427200 is a wasteful number, since it uses less digits than its factorization.

48039427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27855 (or 27838 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 48039427200 in words is "forty-eight billion, thirty-nine million, four hundred twenty-seven thousand, two hundred".