5556418560 has 1152 divisors, whose sum is σ = 25757222400. Its totient is φ = 1114767360.

The previous prime is 5556418559. The next prime is 5556418561. The reversal of 5556418560 is 658146555.

5556418560 is a `hidden beast` number, since 5 + 5 + 564 + 1 + 85 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5556418559) and next prime (5556418561).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5556418561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191600626 + ... + 191600654.

It is an arithmetic number, because the mean of its divisors is an integer number (22358700).

Almost surely, 2^5556418560 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 5556418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878611200).

5556418560 is an abundant number, since it is smaller than the sum of its proper divisors (20200803840).

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

5556418560 is a wasteful number, since it uses less digits than its factorization.

5556418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 5556418560 is about 74541.3882349933. The cubic root of 5556418560 is about 1771.1893184629.

The spelling of 5556418560 in words is "five billion, five hundred fifty-six million, four hundred eighteen thousand, five hundred sixty".