5556416544 has 864 divisors, whose sum is σ = 21780420480. Its totient is φ = 1328431104.

The previous prime is 5556416461. The next prime is 5556416549. The reversal of 5556416544 is 4456146555.

5556416544 is a `hidden beast` number, since 5 + 556 + 41 + 6 + 54 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5556416544.

It is not an unprimeable number, because it can be changed into a prime (5556416549) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104838022 + ... + 104838074.

It is an arithmetic number, because the mean of its divisors is an integer number (25208820).

Almost surely, 2^5556416544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5556416544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10890210240).

5556416544 is an abundant number, since it is smaller than the sum of its proper divisors (16224003936).

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

5556416544 is a wasteful number, since it uses less digits than its factorization.

5556416544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The square root of 5556416544 is about 74541.3747123032. The cubic root of 5556416544 is about 1771.1891042531.

The spelling of 5556416544 in words is "five billion, five hundred fifty-six million, four hundred sixteen thousand, five hundred forty-four".