556535221200 has 420 divisors, whose sum is σ = 2291090393568. Its totient is φ = 127207584000.

The previous prime is 556535221163. The next prime is 556535221219. The reversal of 556535221200 is 2122535655.

556535221200 is a `hidden beast` number, since 5 + 5 + 6 + 5 + 3 + 522 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×556535221200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1904875 + ... + 2177525.

Almost surely, 2^556535221200 is an apocalyptic number.

556535221200 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 556535221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145545196784).

556535221200 is an abundant number, since it is smaller than the sum of its proper divisors (1734555172368).

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

556535221200 is a wasteful number, since it uses less digits than its factorization.

556535221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272694 (or 272668 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 556535221200 its reverse (2122535655), we get a palindrome (558657756855).

The spelling of 556535221200 in words is "five hundred fifty-six billion, five hundred thirty-five million, two hundred twenty-one thousand, two hundred".