5561966000 has 80 divisors (see below), whose sum is σ = 13600379520. Its totient is φ = 2199718400.

The previous prime is 5561965991. The next prime is 5561966017. The reversal of 5561966000 is 6691655.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162377 + ... + 193623.

It is an arithmetic number, because the mean of its divisors is an integer number (170004744).

Almost surely, 2^5561966000 is an apocalyptic number.

5561966000 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 5561966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800189760).

5561966000 is an abundant number, since it is smaller than the sum of its proper divisors (8038413520).

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

5561966000 is a wasteful number, since it uses less digits than its factorization.

5561966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31359 (or 31343 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 5561966000 is about 74578.5894208251. The cubic root of 5561966000 is about 1771.7785648322.

The spelling of 5561966000 in words is "five billion, five hundred sixty-one million, nine hundred sixty-six thousand".