559954103352 has 256 divisors, whose sum is σ = 1683457966080. Its totient is φ = 151850764800.

The previous prime is 559954103341. The next prime is 559954103353. The reversal of 559954103352 is 253301459955.

It is a happy number.

559954103352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 559954103295 and 559954103304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559954103353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72840453 + ... + 72848139.

It is an arithmetic number, because the mean of its divisors is an integer number (6576007680).

Almost surely, 2^559954103352 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 559954103352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841728983040).

559954103352 is an abundant number, since it is smaller than the sum of its proper divisors (1123503862728).

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

559954103352 is a wasteful number, since it uses less digits than its factorization.

559954103352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8002 (or 7998 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 51.

The spelling of 559954103352 in words is "five hundred fifty-nine billion, nine hundred fifty-four million, one hundred three thousand, three hundred fifty-two".