47791228800 has 576 divisors, whose sum is σ = 184271241600. Its totient is φ = 10854789120.

The previous prime is 47791228769. The next prime is 47791228817. The reversal of 47791228800 is 882219774.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47791228800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133123021 + ... + 133123379.

It is an arithmetic number, because the mean of its divisors is an integer number (319915350).

Almost surely, 2^47791228800 is an apocalyptic number.

47791228800 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 47791228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92135620800).

47791228800 is an abundant number, since it is smaller than the sum of its proper divisors (136480012800).

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

47791228800 is a wasteful number, since it uses less digits than its factorization.

47791228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 47791228800 in words is "forty-seven billion, seven hundred ninety-one million, two hundred twenty-eight thousand, eight hundred".