559397680800 has 1728 divisors, whose sum is σ = 2356442928000. Its totient is φ = 114449448960.

The previous prime is 559397680789. The next prime is 559397680811. The reversal of 559397680800 is 8086793955.

It is an interprime number because it is at equal distance from previous prime (559397680789) and next prime (559397680811).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5766986352 + ... + 5766986448.

It is an arithmetic number, because the mean of its divisors is an integer number (1363682250).

Almost surely, 2^559397680800 is an apocalyptic number.

559397680800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 559397680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178221464000).

559397680800 is an abundant number, since it is smaller than the sum of its proper divisors (1797045247200).

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

559397680800 is a wasteful number, since it uses less digits than its factorization.

559397680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 559397680800 in words is "five hundred fifty-nine billion, three hundred ninety-seven million, six hundred eighty thousand, eight hundred".