48838433280 has 960 divisors, whose sum is σ = 199843459200. Its totient is φ = 10082451456.

The previous prime is 48838433263. The next prime is 48838433339. The reversal of 48838433280 is 8233483884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327774646 + ... + 327774794.

It is an arithmetic number, because the mean of its divisors is an integer number (208170270).

Almost surely, 2^48838433280 is an apocalyptic number.

48838433280 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 48838433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99921729600).

48838433280 is an abundant number, since it is smaller than the sum of its proper divisors (151005025920).

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

48838433280 is a wasteful number, since it uses less digits than its factorization.

48838433280 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 48838433280 in words is "forty-eight billion, eight hundred thirty-eight million, four hundred thirty-three thousand, two hundred eighty".