319940986560 has 224 divisors, whose sum is σ = 1100003765952. Its totient is φ = 78319042560.

The previous prime is 319940986559. The next prime is 319940986579. The reversal of 319940986560 is 65689049913.

It is a super-2 number, since 2×319940986560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 319940986494 and 319940986503.

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, 2188062 + ... + 2329698.

It is an arithmetic number, because the mean of its divisors is an integer number (4910731098).

Almost surely, 2^319940986560 is an apocalyptic number.

319940986560 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 319940986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550001882976).

319940986560 is an abundant number, since it is smaller than the sum of its proper divisors (780062779392).

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

319940986560 is a wasteful number, since it uses less digits than its factorization.

319940986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141851 (or 141841 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 319940986560 in words is "three hundred nineteen billion, nine hundred forty million, nine hundred eighty-six thousand, five hundred sixty".