47973088800 has 1728 divisors, whose sum is σ = 227257954560. Its totient is φ = 9236643840.

The previous prime is 47973088769. The next prime is 47973088843. The reversal of 47973088800 is 888037974.

47973088800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 657165564 + ... + 657165636.

It is an arithmetic number, because the mean of its divisors is an integer number (131515020).

Almost surely, 2^47973088800 is an apocalyptic number.

47973088800 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 47973088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113628977280).

47973088800 is an abundant number, since it is smaller than the sum of its proper divisors (179284865760).

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

47973088800 is a wasteful number, since it uses less digits than its factorization.

47973088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 47973088800 in words is "forty-seven billion, nine hundred seventy-three million, eighty-eight thousand, eight hundred".