320790085125120 has 4224 divisors, whose sum is σ = 1387073978035200. Its totient is φ = 67690127425536.

The previous prime is 320790085125119. The next prime is 320790085125161. The reversal of 320790085125120 is 21521580097023.

320790085125120 is a `hidden beast` number, since 3 + 2 + 0 + 7 + 9 + 0 + 0 + 8 + 512 + 5 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 563778708196 + ... + 563778708764.

Almost surely, 2^{320790085125120} is an apocalyptic number.

320790085125120 is a gapful number since it is divisible by the number (30) 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 320790085125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693536989017600).

320790085125120 is an abundant number, since it is smaller than the sum of its proper divisors (1066283892910080).

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

320790085125120 is a wasteful number, since it uses less digits than its factorization.

320790085125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 320790085125120 in words is "three hundred twenty trillion, seven hundred ninety billion, eighty-five million, one hundred twenty-five thousand, one hundred twenty".