559400348448 has 192 divisors, whose sum is σ = 1642230374400. Its totient is φ = 185253868800.

The previous prime is 559400348413. The next prime is 559400348477. The reversal of 559400348448 is 844843004955.

559400348448 is a `hidden beast` number, since 5 + 594 + 0 + 0 + 3 + 4 + 8 + 4 + 48 = 666.

559400348448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 559400348394 and 559400348403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95604723 + ... + 95610573.

It is an arithmetic number, because the mean of its divisors is an integer number (8553283200).

Almost surely, 2^559400348448 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 559400348448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821115187200).

559400348448 is an abundant number, since it is smaller than the sum of its proper divisors (1082830025952).

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

559400348448 is a wasteful number, since it uses less digits than its factorization.

559400348448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6572 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 559400348448 in words is "five hundred fifty-nine billion, four hundred million, three hundred forty-eight thousand, four hundred forty-eight".