556809422400 has 1512 divisors, whose sum is σ = 2605420804896. Its totient is φ = 115657113600.

The previous prime is 556809422353. The next prime is 556809422413. The reversal of 556809422400 is 4224908655.

556809422400 is a `hidden beast` number, since 5 + 568 + 0 + 9 + 42 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 209561872 + ... + 209564528.

It is an arithmetic number, because the mean of its divisors is an integer number (1723161908).

Almost surely, 2^556809422400 is an apocalyptic number.

556809422400 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 556809422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302710402448).

556809422400 is an abundant number, since it is smaller than the sum of its proper divisors (2048611382496).

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

556809422400 is a wasteful number, since it uses less digits than its factorization.

556809422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2685 counting only the distinct ones).

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

The spelling of 556809422400 in words is "five hundred fifty-six billion, eight hundred nine million, four hundred twenty-two thousand, four hundred".