48665738880 has 384 divisors, whose sum is σ = 188289878400. Its totient is φ = 11478343680.

The previous prime is 48665738873. The next prime is 48665738887. The reversal of 48665738880 is 8883756684.

48665738880 is a `hidden beast` number, since 486 + 6 + 5 + 73 + 8 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (48665738873) and next prime (48665738887).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (48665738887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2333941 + ... + 2354699.

It is an arithmetic number, because the mean of its divisors is an integer number (490338225).

Almost surely, 2^48665738880 is an apocalyptic number.

48665738880 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 48665738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94144939200).

48665738880 is an abundant number, since it is smaller than the sum of its proper divisors (139624139520).

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

48665738880 is a wasteful number, since it uses less digits than its factorization.

48665738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20832 (or 20817 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 48665738880 in words is "forty-eight billion, six hundred sixty-five million, seven hundred thirty-eight thousand, eight hundred eighty".