47948428800 has 180 divisors, whose sum is σ = 171594603180. Its totient is φ = 12786216960.

The previous prime is 47948428789. The next prime is 47948428807. The reversal of 47948428800 is 882484974.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47948428807) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 92910 + ... + 323309.

It is an arithmetic number, because the mean of its divisors is an integer number (953303351).

Almost surely, 2^47948428800 is an apocalyptic number.

47948428800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47948428800 is an abundant number, since it is smaller than the sum of its proper divisors (123646174380).

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

47948428800 is a wasteful number, since it uses less digits than its factorization.

47948428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416253 (or 416229 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 47948428800 in words is "forty-seven billion, nine hundred forty-eight million, four hundred twenty-eight thousand, eight hundred".