559196010240 has 576 divisors, whose sum is σ = 2161250380800. Its totient is φ = 120370102272.

The previous prime is 559196010223. The next prime is 559196010251. The reversal of 559196010240 is 42010691955.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 559196010192 and 559196010201.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 88351396 + ... + 88357724.

It is an arithmetic number, because the mean of its divisors is an integer number (3752170800).

Almost surely, 2^559196010240 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 559196010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080625190400).

559196010240 is an abundant number, since it is smaller than the sum of its proper divisors (1602054370560).

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

559196010240 is a wasteful number, since it uses less digits than its factorization.

559196010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6552 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 559196010240 in words is "five hundred fifty-nine billion, one hundred ninety-six million, ten thousand, two hundred forty".