559413537408 has 640 divisors, whose sum is σ = 1859996666880. Its totient is φ = 165473280000.

The previous prime is 559413537401. The next prime is 559413537409. The reversal of 559413537408 is 804735314955.

It is a happy number.

559413537408 is a `hidden beast` number, since 5 + 5 + 94 + 13 + 537 + 4 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (559413537401) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1328773038 + ... + 1328773458.

It is an arithmetic number, because the mean of its divisors is an integer number (2906244792).

Almost surely, 2^559413537408 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 559413537408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929998333440).

559413537408 is an abundant number, since it is smaller than the sum of its proper divisors (1300583129472).

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

559413537408 is a wasteful number, since it uses less digits than its factorization.

559413537408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 559413537408 in words is "five hundred fifty-nine billion, four hundred thirteen million, five hundred thirty-seven thousand, four hundred eight".