319896987872 has 192 divisors, whose sum is σ = 801783360000. Its totient is φ = 122013665280.

The previous prime is 319896987763. The next prime is 319896987923. The reversal of 319896987872 is 278789698913.

It is a Harshad number since it is a multiple of its sum of digits (77).

It is a junction number, because it is equal to n+sod(n) for n = 319896987793 and 319896987802.

It is a congruent number.

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, 65162954 + ... + 65167862.

It is an arithmetic number, because the mean of its divisors is an integer number (4175955000).

Almost surely, 2^319896987872 is an apocalyptic number.

319896987872 is a gapful number since it is divisible by the number (32) 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 319896987872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400891680000).

319896987872 is an abundant number, since it is smaller than the sum of its proper divisors (481886372128).

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

319896987872 is a wasteful number, since it uses less digits than its factorization.

319896987872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5489 (or 5481 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 77.

The spelling of 319896987872 in words is "three hundred nineteen billion, eight hundred ninety-six million, nine hundred eighty-seven thousand, eight hundred seventy-two".