5616832431420 has 288 divisors, whose sum is σ = 19535272638336. Its totient is φ = 1279660032000.

The previous prime is 5616832431403. The next prime is 5616832431467. The reversal of 5616832431420 is 241342386165.

5616832431420 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 8 + 324 + 314 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 806896740 + ... + 806903700.

It is an arithmetic number, because the mean of its divisors is an integer number (67830807772).

Almost surely, 2^{5616832431420} 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 5616832431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767636319168).

5616832431420 is an abundant number, since it is smaller than the sum of its proper divisors (13918440206916).

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

5616832431420 is a wasteful number, since it uses less digits than its factorization.

5616832431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 5616832431420 in words is "five trillion, six hundred sixteen billion, eight hundred thirty-two million, four hundred thirty-one thousand, four hundred twenty".