5556587400 has 288 divisors, whose sum is σ = 22967904960. Its totient is φ = 1172344320.

The previous prime is 5556587383. The next prime is 5556587401. The reversal of 5556587400 is 47856555.

5556587400 is a `hidden beast` number, since 5 + 5 + 565 + 87 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5556587401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 146839 + ... + 180761.

It is an arithmetic number, because the mean of its divisors is an integer number (79749670).

Almost surely, 2^5556587400 is an apocalyptic number.

5556587400 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 5556587400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483952480).

5556587400 is an abundant number, since it is smaller than the sum of its proper divisors (17411317560).

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

5556587400 is a wasteful number, since it uses less digits than its factorization.

5556587400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33965 (or 33953 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The square root of 5556587400 is about 74542.5207515818. The cubic root of 5556587400 is about 1771.2072583507.

The spelling of 5556587400 in words is "five billion, five hundred fifty-six million, five hundred eighty-seven thousand, four hundred".