5502318796800 has 1008 divisors, whose sum is σ = 22648698009600. Its totient is φ = 1250768977920.

The previous prime is 5502318796763. The next prime is 5502318796813. The reversal of 5502318796800 is 86978132055.

5502318796800 is a `hidden beast` number, since 5 + 502 + 3 + 1 + 8 + 79 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2567576529 + ... + 2567578671.

Almost surely, 2^{5502318796800} is an apocalyptic number.

5502318796800 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 5502318796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11324349004800).

5502318796800 is an abundant number, since it is smaller than the sum of its proper divisors (17146379212800).

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

5502318796800 is a wasteful number, since it uses less digits than its factorization.

5502318796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5502318796800 in words is "five trillion, five hundred two billion, three hundred eighteen million, seven hundred ninety-six thousand, eight hundred".