5329182620160 has 1280 divisors, whose sum is σ = 22083506565120. Its totient is φ = 1193057648640.

The previous prime is 5329182620147. The next prime is 5329182620161. The reversal of 5329182620160 is 610262819235.

5329182620160 is a `hidden beast` number, since 5 + 3 + 2 + 9 + 1 + 8 + 2 + 620 + 16 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5329182620161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5260791814 + ... + 5260792826.

It is an arithmetic number, because the mean of its divisors is an integer number (17252739504).

Almost surely, 2^{5329182620160} 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 5329182620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041753282560).

5329182620160 is an abundant number, since it is smaller than the sum of its proper divisors (16754323944960).

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

5329182620160 is a wasteful number, since it uses less digits than its factorization.

5329182620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 5329182620160 in words is "five trillion, three hundred twenty-nine billion, one hundred eighty-two million, six hundred twenty thousand, one hundred sixty".