320160539248704 has 1512 divisors, whose sum is σ = 1218235803482880. Its totient is φ = 83062901053440.

The previous prime is 320160539248637. The next prime is 320160539248709. The reversal of 320160539248704 is 407842935061023.

320160539248704 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 6 + 0 + 539 + 24 + 87 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (320160539248709) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 117749369457 + ... + 117749372175.

It is an arithmetic number, because the mean of its divisors is an integer number (805711510240).

It is a 1-persistent number, because it is pandigital, but 2⋅320160539248704 = 640321078497408 is not.

Almost surely, 2^{320160539248704} 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 320160539248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609117901741440).

320160539248704 is an abundant number, since it is smaller than the sum of its proper divisors (898075264234176).

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

320160539248704 is a wasteful number, since it uses less digits than its factorization.

320160539248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 320160539248704 in words is "three hundred twenty trillion, one hundred sixty billion, five hundred thirty-nine million, two hundred forty-eight thousand, seven hundred four".