48013817280 has 448 divisors, whose sum is σ = 179771332608. Its totient is φ = 10703831040.

The previous prime is 48013817251. The next prime is 48013817297. The reversal of 48013817280 is 8271831084.

48013817280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50381284 + ... + 50382236.

It is an arithmetic number, because the mean of its divisors is an integer number (401275296).

Almost surely, 2^48013817280 is an apocalyptic number.

48013817280 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 48013817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89885666304).

48013817280 is an abundant number, since it is smaller than the sum of its proper divisors (131757515328).

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

48013817280 is a wasteful number, since it uses less digits than its factorization.

48013817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 48013817280 in words is "forty-eight billion, thirteen million, eight hundred seventeen thousand, two hundred eighty".