319320020880 has 1280 divisors, whose sum is σ = 1379268864000. Its totient is φ = 68474585088.

The previous prime is 319320020839. The next prime is 319320020917. The reversal of 319320020880 is 88020023913.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1020191604 + ... + 1020191916.

It is an arithmetic number, because the mean of its divisors is an integer number (1077553800).

Almost surely, 2^319320020880 is an apocalyptic number.

319320020880 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 319320020880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689634432000).

319320020880 is an abundant number, since it is smaller than the sum of its proper divisors (1059948843120).

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

319320020880 is an equidigital number, since it uses as much as digits as its factorization.

319320020880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 319320020880 in words is "three hundred nineteen billion, three hundred twenty million, twenty thousand, eight hundred eighty".