5579457312 has 192 divisors, whose sum is σ = 18113034240. Its totient is φ = 1478476800.

The previous prime is 5579457271. The next prime is 5579457329. The reversal of 5579457312 is 2137549755.

It is a super-4 number, since 4×5579457312⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250137 + ... + 271527.

It is an arithmetic number, because the mean of its divisors is an integer number (94338720).

Almost surely, 2^5579457312 is an apocalyptic number.

5579457312 is a gapful number since it is divisible by the number (52) 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 5579457312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056517120).

5579457312 is an abundant number, since it is smaller than the sum of its proper divisors (12533576928).

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

5579457312 is a wasteful number, since it uses less digits than its factorization.

5579457312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21447 (or 21439 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 48.

The square root of 5579457312 is about 74695.7650205151. The cubic root of 5579457312 is about 1773.6339220737.

The spelling of 5579457312 in words is "five billion, five hundred seventy-nine million, four hundred fifty-seven thousand, three hundred twelve".