5534408980800 has 3024 divisors, whose sum is σ = 25369293261312. Its totient is φ = 1161622425600.

The previous prime is 5534408980787. The next prime is 5534408980813. The reversal of 5534408980800 is 80898044355.

5534408980800 is a `hidden beast` number, since 55 + 34 + 408 + 9 + 80 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5534408980787) and next prime (5534408980813).

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 431 ways as a sum of consecutive naturals, for example, 42247396735 + ... + 42247396865.

Almost surely, 2^{5534408980800} is an apocalyptic number.

5534408980800 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 5534408980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12684646630656).

5534408980800 is an abundant number, since it is smaller than the sum of its proper divisors (19834884280512).

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

5534408980800 is a wasteful number, since it uses less digits than its factorization.

5534408980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 5534408980800 in words is "five trillion, five hundred thirty-four billion, four hundred eight million, nine hundred eighty thousand, eight hundred".