5610446669152 has 192 divisors, whose sum is σ = 12783682880640. Its totient is φ = 2400681590784.

The previous prime is 5610446669141. The next prime is 5610446669239. The reversal of 5610446669152 is 2519666440165.

It is a happy number.

It is a super-2 number, since 2×5610446669152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5610446669093 and 5610446669102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433132308 + ... + 433145260.

It is an arithmetic number, because the mean of its divisors is an integer number (66581681670).

Almost surely, 2^{5610446669152} is an apocalyptic number.

5610446669152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5610446669152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391841440320).

5610446669152 is an abundant number, since it is smaller than the sum of its proper divisors (7173236211488).

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

5610446669152 is a wasteful number, since it uses less digits than its factorization.

5610446669152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13905 (or 13897 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 5610446669152 in words is "five trillion, six hundred ten billion, four hundred forty-six million, six hundred sixty-nine thousand, one hundred fifty-two".