559620490800 has 480 divisors, whose sum is σ = 2176406129664. Its totient is φ = 119992320000.

The previous prime is 559620490789. The next prime is 559620490811. The reversal of 559620490800 is 8094026955.

It is an interprime number because it is at equal distance from previous prime (559620490789) and next prime (559620490811).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 559620490800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44404500 + ... + 44417100.

Almost surely, 2^559620490800 is an apocalyptic number.

559620490800 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 559620490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088203064832).

559620490800 is an abundant number, since it is smaller than the sum of its proper divisors (1616785638864).

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

559620490800 is a wasteful number, since it uses less digits than its factorization.

559620490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12957 (or 12946 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 559620490800 in words is "five hundred fifty-nine billion, six hundred twenty million, four hundred ninety thousand, eight hundred".