47302839091200 has 1440 divisors, whose sum is σ = 201307563491328. Its totient is φ = 9511501824000.

The previous prime is 47302839091139. The next prime is 47302839091219. The reversal of 47302839091200 is 219093820374.

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 47302839091200.

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 95 ways as a sum of consecutive naturals, for example, 2933137537 + ... + 2933153663.

Almost surely, 2^{47302839091200} is an apocalyptic number.

47302839091200 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 47302839091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100653781745664).

47302839091200 is an abundant number, since it is smaller than the sum of its proper divisors (154004724400128).

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

47302839091200 is a wasteful number, since it uses less digits than its factorization.

47302839091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16217 (or 16186 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 47302839091200 in words is "forty-seven trillion, three hundred two billion, eight hundred thirty-nine million, ninety-one thousand, two hundred".