319243680000 has 2520 divisors, whose sum is σ = 1507529536128. Its totient is φ = 65691648000.

The previous prime is 319243679999. The next prime is 319243680001. The reversal of 319243680000 is 86342913.

It is an interprime number because it is at equal distance from previous prime (319243679999) and next prime (319243680001).

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is not an unprimeable number, because it can be changed into a prime (319243680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 13880159989 + ... + 13880160011.

Almost surely, 2^319243680000 is an apocalyptic number.

319243680000 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 319243680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753764768064).

319243680000 is an abundant number, since it is smaller than the sum of its proper divisors (1188285856128).

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

319243680000 is an frugal number, since it uses more digits than its factorization.

319243680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 319243680000 in words is "three hundred nineteen billion, two hundred forty-three million, six hundred eighty thousand".