5556584124000 has 4320 divisors, whose sum is σ = 27289724061600. Its totient is φ = 1100484403200.

The previous prime is 5556584123977. The next prime is 5556584124017. The reversal of 5556584124000 is 4214856555.

5556584124000 is a `hidden beast` number, since 5 + 5 + 56 + 584 + 12 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 50977835946 + ... + 50977836054.

It is an arithmetic number, because the mean of its divisors is an integer number (6317065755).

Almost surely, 2^{5556584124000} is an apocalyptic number.

5556584124000 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 5556584124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644862030800).

5556584124000 is an abundant number, since it is smaller than the sum of its proper divisors (21733139937600).

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

5556584124000 is a wasteful number, since it uses less digits than its factorization.

5556584124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 5556584124000 in words is "five trillion, five hundred fifty-six billion, five hundred eighty-four million, one hundred twenty-four thousand".