5616386158320 has 720 divisors, whose sum is σ = 22905066981888. Its totient is φ = 1275211123200.

The previous prime is 5616386158319. The next prime is 5616386158391. The reversal of 5616386158320 is 238516836165.

It is a happy number.

5616386158320 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 38 + 6 + 1 + 583 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143817037 + ... + 143856083.

Almost surely, 2^{5616386158320} 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 5616386158320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11452533490944).

5616386158320 is an abundant number, since it is smaller than the sum of its proper divisors (17288680823568).

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

5616386158320 is a wasteful number, since it uses less digits than its factorization.

5616386158320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39240 (or 39215 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5616386158320 in words is "five trillion, six hundred sixteen billion, three hundred eighty-six million, one hundred fifty-eight thousand, three hundred twenty".