5582747174400 has 1080 divisors, whose sum is σ = 22109049794832. Its totient is φ = 1344245760000.

The previous prime is 5582747174393. The next prime is 5582747174441. The reversal of 5582747174400 is 44717472855.

5582747174400 is a `hidden beast` number, since 5 + 5 + 8 + 27 + 47 + 174 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2188453125 + ... + 2188455675.

Almost surely, 2^{5582747174400} is an apocalyptic number.

5582747174400 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 5582747174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11054524897416).

5582747174400 is an abundant number, since it is smaller than the sum of its proper divisors (16526302620432).

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

5582747174400 is a wasteful number, since it uses less digits than its factorization.

5582747174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 54.

The spelling of 5582747174400 in words is "five trillion, five hundred eighty-two billion, seven hundred forty-seven million, one hundred seventy-four thousand, four hundred".