558325763072 has 176 divisors, whose sum is σ = 1419917107200. Its totient is φ = 217528012800.

The previous prime is 558325763057. The next prime is 558325763087. The reversal of 558325763072 is 270367523855.

It is an interprime number because it is at equal distance from previous prime (558325763057) and next prime (558325763087).

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×558325763072³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3791297 + ... + 3935807.

Almost surely, 2^558325763072 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 558325763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709958553600).

558325763072 is an abundant number, since it is smaller than the sum of its proper divisors (861591344128).

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

558325763072 is a wasteful number, since it uses less digits than its factorization.

558325763072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144563 (or 144531 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 53.

The spelling of 558325763072 in words is "five hundred fifty-eight billion, three hundred twenty-five million, seven hundred sixty-three thousand, seventy-two".