5945319686720 has 112 divisors (see below), whose sum is σ = 14648582386800. Its totient is φ = 2295636295680.

The previous prime is 5945319686707. The next prime is 5945319686723. The reversal of 5945319686720 is 276869135495.

It can be written as a sum of positive squares in 8 ways, for example, as 480459695104 + 5464859991616 = 693152^2 + 2337704^2 .

It is not an unprimeable number, because it can be changed into a prime (5945319686723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45304400 + ... + 45435440.

It is a 1-persistent number, because it is pandigital, but 2⋅5945319686720 = 11890639373440 is not.

Almost surely, 2^{5945319686720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5945319686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7324291193400).

5945319686720 is an abundant number, since it is smaller than the sum of its proper divisors (8703262700080).

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

5945319686720 is a wasteful number, since it uses less digits than its factorization.

5945319686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135976 (or 135966 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 65.

The spelling of 5945319686720 in words is "five trillion, nine hundred forty-five billion, three hundred nineteen million, six hundred eighty-six thousand, seven hundred twenty".