559085198400 has 945 divisors, whose sum is σ = 2155654039077. Its totient is φ = 142126617600.

The previous prime is 559085198389. The next prime is 559085198401. The reversal of 559085198400 is 4891580955.

The square root of 559085198400 is 747720.

It is a perfect power (a square), and thus also a powerful number.

559085198400 is a `hidden beast` number, since 5 + 590 + 8 + 5 + 1 + 9 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 201270671424 + 357814526976 = 448632^2 + 598176^2 .

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 (559085198401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8344555167 + ... + 8344555233.

Almost surely, 2^559085198400 is an apocalyptic number.

559085198400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

559085198400 is the 747720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 559085198400

559085198400 is an abundant number, since it is smaller than the sum of its proper divisors (1596568840677).

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

559085198400 is an equidigital number, since it uses as much as digits as its factorization.

559085198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 559085198400 in words is "five hundred fifty-nine billion, eighty-five million, one hundred ninety-eight thousand, four hundred".