5616415119744 has 768 divisors, whose sum is σ = 20855896588800. Its totient is φ = 1423611002880.

The previous prime is 5616415119709. The next prime is 5616415119761. The reversal of 5616415119744 is 4479115146165.

5616415119744 is a `hidden beast` number, since 5 + 6 + 16 + 41 + 511 + 9 + 74 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71950624 + ... + 72028640.

It is an arithmetic number, because the mean of its divisors is an integer number (27156115350).

Almost surely, 2^{5616415119744} 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 5616415119744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10427948294400).

5616415119744 is an abundant number, since it is smaller than the sum of its proper divisors (15239481469056).

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

5616415119744 is a wasteful number, since it uses less digits than its factorization.

5616415119744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78103 (or 78088 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 5616415119744 in words is "five trillion, six hundred sixteen billion, four hundred fifteen million, one hundred nineteen thousand, seven hundred forty-four".