320125504000 has 320 divisors, whose sum is σ = 859706939520. Its totient is φ = 118451404800.

The previous prime is 320125503959. The next prime is 320125504037. The reversal of 320125504000 is 405521023.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×320125504000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64189507 + ... + 64194493.

It is an arithmetic number, because the mean of its divisors is an integer number (2686584186).

Almost surely, 2^320125504000 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 320125504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429853469760).

320125504000 is an abundant number, since it is smaller than the sum of its proper divisors (539581435520).

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

320125504000 is an equidigital number, since it uses as much as digits as its factorization.

320125504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The spelling of 320125504000 in words is "three hundred twenty billion, one hundred twenty-five million, five hundred four thousand".