5329689477120 has 1280 divisors, whose sum is σ = 21010625856000. Its totient is φ = 1286505234432.

The previous prime is 5329689477071. The next prime is 5329689477131. The reversal of 5329689477120 is 217749869235.

5329689477120 is a `hidden beast` number, since 5 + 32 + 9 + 6 + 8 + 9 + 477 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 79 ways as a sum of consecutive naturals, for example, 5799444021 + ... + 5799444939.

It is an arithmetic number, because the mean of its divisors is an integer number (16414551450).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5329689477120 = 10659378954240, but 3⋅5329689477120 = 15989068431360 is not.

Almost surely, 2^{5329689477120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5329689477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10505312928000).

5329689477120 is an abundant number, since it is smaller than the sum of its proper divisors (15680936378880).

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

5329689477120 is an equidigital number, since it uses as much as digits as its factorization.

5329689477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 5329689477120 in words is "five trillion, three hundred twenty-nine billion, six hundred eighty-nine million, four hundred seventy-seven thousand, one hundred twenty".