47088450459360 has 288 divisors, whose sum is σ = 168358753940832. Its totient is φ = 12427466342400.

The previous prime is 47088450459343. The next prime is 47088450459383. The reversal of 47088450459360 is 6395405488074.

47088450459360 is a `hidden beast` number, since 4 + 7 + 0 + 88 + 45 + 0 + 459 + 3 + 60 = 666.

47088450459360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2471541 + ... + 10014260.

It is an arithmetic number, because the mean of its divisors is an integer number (584579006739).

Almost surely, 2^{47088450459360} is an apocalyptic number.

47088450459360 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 47088450459360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84179376970416).

47088450459360 is an abundant number, since it is smaller than the sum of its proper divisors (121270303481472).

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

47088450459360 is a wasteful number, since it uses less digits than its factorization.

47088450459360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485928 (or 12485908 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 47088450459360 in words is "forty-seven trillion, eighty-eight billion, four hundred fifty million, four hundred fifty-nine thousand, three hundred sixty".