556166081100 has 144 divisors (see below), whose sum is σ = 1845894355200. Its totient is φ = 126650968320.

The previous prime is 556166081069. The next prime is 556166081101. The reversal of 556166081100 is 1180661655.

It is a super-2 number, since 2×556166081100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (556166081101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72631 + ... + 1057169.

It is an arithmetic number, because the mean of its divisors is an integer number (12818710800).

Almost surely, 2^556166081100 is an apocalyptic number.

556166081100 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 556166081100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922947177600).

556166081100 is an abundant number, since it is smaller than the sum of its proper divisors (1289728274100).

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

556166081100 is a wasteful number, since it uses less digits than its factorization.

556166081100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984832 (or 984825 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 556166081100 in words is "five hundred fifty-six billion, one hundred sixty-six million, eighty-one thousand, one hundred".