5584135334400 has 3240 divisors, whose sum is σ = 25616152916640. Its totient is φ = 1200186408960.

The previous prime is 5584135334387. The next prime is 5584135334417. The reversal of 5584135334400 is 44335314855.

5584135334400 is a `hidden beast` number, since 5 + 5 + 84 + 135 + 3 + 34 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 94646361571 + ... + 94646361629.

It is an arithmetic number, because the mean of its divisors is an integer number (7906220036).

Almost surely, 2^{5584135334400} is an apocalyptic number.

5584135334400 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 5584135334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12808076458320).

5584135334400 is an abundant number, since it is smaller than the sum of its proper divisors (20032017582240).

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

5584135334400 is an frugal number, since it uses more digits than its factorization.

5584135334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 5584135334400 in words is "five trillion, five hundred eighty-four billion, one hundred thirty-five million, three hundred thirty-four thousand, four hundred".