5945242972416 has 1152 divisors, whose sum is σ = 19842673213440. Its totient is φ = 1556692992000.

The previous prime is 5945242972343. The next prime is 5945242972421. The reversal of 5945242972416 is 6142792425495.

It is a self number, because there is not a number n which added to its sum of digits gives 5945242972416.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19365612135 + ... + 19365612441.

It is an arithmetic number, because the mean of its divisors is an integer number (17224542720).

Almost surely, 2^{5945242972416} 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 5945242972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9921336606720).

5945242972416 is an abundant number, since it is smaller than the sum of its proper divisors (13897430241024).

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

5945242972416 is a wasteful number, since it uses less digits than its factorization.

5945242972416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 60.

The spelling of 5945242972416 in words is "five trillion, nine hundred forty-five billion, two hundred forty-two million, nine hundred seventy-two thousand, four hundred sixteen".