5579351027712 has 1872 divisors, whose sum is σ = 21619333263360. Its totient is φ = 1416311930880.

The previous prime is 5579351027689. The next prime is 5579351027713. The reversal of 5579351027712 is 2177201539755.

5579351027712 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 351 + 0 + 277 + 12 = 666.

It is a super-2 number, since 2×5579351027712² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5579351027713) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43931897793 + ... + 43931897919.

Almost surely, 2^{5579351027712} 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 5579351027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10809666631680).

5579351027712 is an abundant number, since it is smaller than the sum of its proper divisors (16039982235648).

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

5579351027712 is a wasteful number, since it uses less digits than its factorization.

5579351027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4630500, while the sum is 54.

The spelling of 5579351027712 in words is "five trillion, five hundred seventy-nine billion, three hundred fifty-one million, twenty-seven thousand, seven hundred twelve".