5561350080 has 448 divisors, whose sum is σ = 21973690368. Its totient is φ = 1170800640.

The previous prime is 5561350073. The next prime is 5561350087. The reversal of 5561350080 is 800531655.

It is an interprime number because it is at equal distance from previous prime (5561350073) and next prime (5561350087).

It is a super-2 number, since 2×5561350080² = 61857229424632012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5561350087) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2332569 + ... + 2334951.

It is an arithmetic number, because the mean of its divisors is an integer number (49048416).

Almost surely, 2^5561350080 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 5561350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10986845184).

5561350080 is an abundant number, since it is smaller than the sum of its proper divisors (16412340288).

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

5561350080 is a wasteful number, since it uses less digits than its factorization.

5561350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 5561350080 is about 74574.4599712261. The cubic root of 5561350080 is about 1771.7131614516.

The spelling of 5561350080 in words is "five billion, five hundred sixty-one million, three hundred fifty thousand, eighty".