48480884880 has 240 divisors, whose sum is σ = 165520298880. Its totient is φ = 11714807808.

The previous prime is 48480884849. The next prime is 48480884891. The reversal of 48480884880 is 8848808484.

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

It is a super-2 number, since 2×48480884880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1980556 + ... + 2004884.

It is an arithmetic number, because the mean of its divisors is an integer number (689667912).

Almost surely, 2^48480884880 is an apocalyptic number.

48480884880 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 48480884880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82760149440).

48480884880 is an abundant number, since it is smaller than the sum of its proper divisors (117039414000).

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

48480884880 is a wasteful number, since it uses less digits than its factorization.

48480884880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24406 (or 24381 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 60.

The spelling of 48480884880 in words is "forty-eight billion, four hundred eighty million, eight hundred eighty-four thousand, eight hundred eighty".