5611661000 has 128 divisors (see below), whose sum is σ = 14469736320. Its totient is φ = 2020000000.

The previous prime is 5611660991. The next prime is 5611661047. The reversal of 5611661000 is 1661165.

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, 1108475 + ... + 1113525.

It is an arithmetic number, because the mean of its divisors is an integer number (113044815).

Almost surely, 2^5611661000 is an apocalyptic number.

5611661000 is a gapful number since it is divisible by the number (50) 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 5611661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234868160).

5611661000 is an abundant number, since it is smaller than the sum of its proper divisors (8858075320).

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

5611661000 is a wasteful number, since it uses less digits than its factorization.

5611661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 5611661000 is about 74911.0205510511. The cubic root of 5611661000 is about 1777.0397499360.

The spelling of 5611661000 in words is "five billion, six hundred eleven million, six hundred sixty-one thousand".