320872799520 has 2304 divisors, whose sum is σ = 1572409843200. Its totient is φ = 60364652544.

The previous prime is 320872799519. The next prime is 320872799521. The reversal of 320872799520 is 25997278023.

320872799520 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 7 + 27 + 99 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (320872799519) and next prime (320872799521).

It is a super-2 number, since 2×320872799520² (a number of 24 digits) contains 22 as substring.

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 (320872799521) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16888042071 + ... + 16888042089.

It is an arithmetic number, because the mean of its divisors is an integer number (682469550).

Almost surely, 2^320872799520 is an apocalyptic number.

320872799520 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 320872799520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786204921600).

320872799520 is an abundant number, since it is smaller than the sum of its proper divisors (1251537043680).

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

320872799520 is a wasteful number, since it uses less digits than its factorization.

320872799520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 320872799520 in words is "three hundred twenty billion, eight hundred seventy-two million, seven hundred ninety-nine thousand, five hundred twenty".