559056209941152 has 432 divisors, whose sum is σ = 2071091946321216. Its totient is φ = 145209403468800.

The previous prime is 559056209941147. The next prime is 559056209941189. The reversal of 559056209941152 is 251149902650955.

559056209941152 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 5 + 6 + 209 + 9 + 411 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-4 number, since 4×559056209941152⁴ (a number of 60 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 (63).

It is a self number, because there is not a number n which added to its sum of digits gives 559056209941152.

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, 35854749 + ... + 49027292.

It is an arithmetic number, because the mean of its divisors is an integer number (4794194320188).

Almost surely, 2^{559056209941152} is an apocalyptic number.

It is an amenable number.

559056209941152 is an abundant number, since it is smaller than the sum of its proper divisors (1512035736380064).

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

559056209941152 is a wasteful number, since it uses less digits than its factorization.

559056209941152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84882095 (or 84882064 counting only the distinct ones).

The product of its (nonzero) digits is 43740000, while the sum is 63.

The spelling of 559056209941152 in words is "five hundred fifty-nine trillion, fifty-six billion, two hundred nine million, nine hundred forty-one thousand, one hundred fifty-two".