47820442880 has 288 divisors, whose sum is σ = 134082998784. Its totient is φ = 16003104768.

The previous prime is 47820442853. The next prime is 47820442931. The reversal of 47820442880 is 8824402874.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73910717 + ... + 73911363.

It is an arithmetic number, because the mean of its divisors is an integer number (465565968).

Almost surely, 2^47820442880 is an apocalyptic number.

47820442880 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 47820442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67041499392).

47820442880 is an abundant number, since it is smaller than the sum of its proper divisors (86262555904).

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

47820442880 is a wasteful number, since it uses less digits than its factorization.

47820442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 47.

The spelling of 47820442880 in words is "forty-seven billion, eight hundred twenty million, four hundred forty-two thousand, eight hundred eighty".