47881757120 has 224 divisors, whose sum is σ = 122280883200. Its totient is φ = 17806086144.

The previous prime is 47881757107. The next prime is 47881757159. The reversal of 47881757120 is 2175718874.

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 31 ways as a sum of consecutive naturals, for example, 120608762 + ... + 120609158.

It is an arithmetic number, because the mean of its divisors is an integer number (545896800).

Almost surely, 2^47881757120 is an apocalyptic number.

47881757120 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 47881757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61140441600).

47881757120 is an abundant number, since it is smaller than the sum of its proper divisors (74399126080).

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

47881757120 is a wasteful number, since it uses less digits than its factorization.

47881757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 50.

The spelling of 47881757120 in words is "forty-seven billion, eight hundred eighty-one million, seven hundred fifty-seven thousand, one hundred twenty".