559628222400 has 1764 divisors, whose sum is σ = 2381323804272. Its totient is φ = 128875069440.

The previous prime is 559628222381. The next prime is 559628222423. The reversal of 559628222400 is 4222826955.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 3351067117 + ... + 3351067283.

Almost surely, 2^559628222400 is an apocalyptic number.

559628222400 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 559628222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190661902136).

559628222400 is an abundant number, since it is smaller than the sum of its proper divisors (1821695581872).

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

559628222400 is a wasteful number, since it uses less digits than its factorization.

559628222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 559628222400 in words is "five hundred fifty-nine billion, six hundred twenty-eight million, two hundred twenty-two thousand, four hundred".