559692470796480 has 2240 divisors, whose sum is σ = 2479311685585152. Its totient is φ = 116912978657280.

The previous prime is 559692470796451. The next prime is 559692470796521. The reversal of 559692470796480 is 84697074296955.

It is a happy number.

559692470796480 is a `hidden beast` number, since 5 + 5 + 9 + 6 + 9 + 2 + 47 + 0 + 7 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 559692470796480.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 59459516254 + ... + 59459525666.

Almost surely, 2^{559692470796480} 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 559692470796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239655842792576).

559692470796480 is an abundant number, since it is smaller than the sum of its proper divisors (1919619214788672).

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

559692470796480 is a wasteful number, since it uses less digits than its factorization.

559692470796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10024 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 8230118400, while the sum is 81.

The spelling of 559692470796480 in words is "five hundred fifty-nine trillion, six hundred ninety-two billion, four hundred seventy million, seven hundred ninety-six thousand, four hundred eighty".