48575738880 has 264 divisors, whose sum is σ = 174551980512. Its totient is φ = 12953198592.

The previous prime is 48575738867. The next prime is 48575738917. The reversal of 48575738880 is 8883757584.

48575738880 is a `hidden beast` number, since 4 + 8 + 57 + 573 + 8 + 8 + 8 + 0 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1224639 + ... + 1263681.

Almost surely, 2^48575738880 is an apocalyptic number.

48575738880 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 48575738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87275990256).

48575738880 is an abundant number, since it is smaller than the sum of its proper divisors (125976241632).

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

48575738880 is an equidigital number, since it uses as much as digits as its factorization.

48575738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39083 (or 39053 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 48575738880 in words is "forty-eight billion, five hundred seventy-five million, seven hundred thirty-eight thousand, eight hundred eighty".