556197053800 has 144 divisors (see below), whose sum is σ = 1384809139980. Its totient is φ = 207613824000.

The previous prime is 556197053771. The next prime is 556197053807. The reversal of 556197053800 is 8350791655.

It can be written as a sum of positive squares in 6 ways, for example, as 67380738084 + 488816315716 = 259578^2 + 699154^2 .

It is not an unprimeable number, because it can be changed into a prime (556197053807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4273690 + ... + 4401910.

Almost surely, 2^556197053800 is an apocalyptic number.

556197053800 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 556197053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692404569990).

556197053800 is an abundant number, since it is smaller than the sum of its proper divisors (828612086180).

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

556197053800 is a wasteful number, since it uses less digits than its factorization.

556197053800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128324 (or 128292 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 49.

The spelling of 556197053800 in words is "five hundred fifty-six billion, one hundred ninety-seven million, fifty-three thousand, eight hundred".