5616532177920 has 528 divisors, whose sum is σ = 20635509742848. Its totient is φ = 1407614976000.

The previous prime is 5616532177873. The next prime is 5616532177957. The reversal of 5616532177920 is 297712356165.

It is a happy number.

5616532177920 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 532 + 17 + 7 + 92 + 0 = 666.

It is a super-2 number, since 2×5616532177920² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588298587 + ... + 588308133.

It is an arithmetic number, because the mean of its divisors is an integer number (39082404816).

Almost surely, 2^{5616532177920} 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 5616532177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10317754871424).

5616532177920 is an abundant number, since it is smaller than the sum of its proper divisors (15018977564928).

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

5616532177920 is a wasteful number, since it uses less digits than its factorization.

5616532177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10346 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 5616532177920 in words is "five trillion, six hundred sixteen billion, five hundred thirty-two million, one hundred seventy-seven thousand, nine hundred twenty".