5584077600000 has 432 divisors, whose sum is σ = 19216841293440. Its totient is φ = 1437721600000.

The previous prime is 5584077599941. The next prime is 5584077600019. The reversal of 5584077600000 is 67704855.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69559885 + ... + 69640115.

It is an arithmetic number, because the mean of its divisors is an integer number (44483428920).

Almost surely, 2^{5584077600000} is an apocalyptic number.

5584077600000 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 5584077600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9608420646720).

5584077600000 is an abundant number, since it is smaller than the sum of its proper divisors (13632763693440).

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

5584077600000 is an frugal number, since it uses more digits than its factorization.

5584077600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80304 (or 80270 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 5584077600000 in words is "five trillion, five hundred eighty-four billion, seventy-seven million, six hundred thousand".