5561095680 has 720 divisors, whose sum is σ = 23352192864. Its totient is φ = 1197342720.

The previous prime is 5561095667. The next prime is 5561095711. The reversal of 5561095680 is 865901655.

It is a happy number.

5561095680 is a `hidden beast` number, since 5 + 561 + 0 + 9 + 5 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5561095680² = 61851570324229324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135636460 + ... + 135636500.

Almost surely, 2^5561095680 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 5561095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676096432).

5561095680 is an abundant number, since it is smaller than the sum of its proper divisors (17791097184).

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

5561095680 is a wasteful number, since it uses less digits than its factorization.

5561095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5561095680 is about 74572.7542739304. The cubic root of 5561095680 is about 1771.6861457873.

The spelling of 5561095680 in words is "five billion, five hundred sixty-one million, ninety-five thousand, six hundred eighty".