5534984960000 has 480 divisors, whose sum is σ = 14511617920800. Its totient is φ = 2105917440000.

The previous prime is 5534984959817. The next prime is 5534984960053. The reversal of 5534984960000 is 694894355.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6741759590 + ... + 6741760410.

It is an arithmetic number, because the mean of its divisors is an integer number (30232537335).

Almost surely, 2^{5534984960000} is an apocalyptic number.

5534984960000 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 5534984960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255808960400).

5534984960000 is an abundant number, since it is smaller than the sum of its proper divisors (8976632960800).

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

5534984960000 is an equidigital number, since it uses as much as digits as its factorization.

5534984960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 53.

The spelling of 5534984960000 in words is "five trillion, five hundred thirty-four billion, nine hundred eighty-four million, nine hundred sixty thousand".