5579141760 has 256 divisors, whose sum is σ = 20800656000. Its totient is φ = 1409384448.

The previous prime is 5579141749. The next prime is 5579141761. The reversal of 5579141760 is 671419755.

5579141760 is a `hidden beast` number, since 5 + 579 + 1 + 4 + 1 + 76 + 0 = 666.

It is a super-2 number, since 2×5579141760² = 62253645556351795200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5579141761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319824 + ... + 336816.

Almost surely, 2^5579141760 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 5579141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10400328000).

5579141760 is an abundant number, since it is smaller than the sum of its proper divisors (15221514240).

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

5579141760 is a wasteful number, since it uses less digits than its factorization.

5579141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17040 (or 17022 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 5579141760 is about 74693.6527423850. The cubic root of 5579141760 is about 1773.6004848741.

The spelling of 5579141760 in words is "five billion, five hundred seventy-nine million, one hundred forty-one thousand, seven hundred sixty".