5536181985600 has 336 divisors, whose sum is σ = 20770478144000. Its totient is φ = 1264655185920.

The previous prime is 5536181985589. The next prime is 5536181985601. The reversal of 5536181985600 is 65891816355.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5536181985601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57037911 + ... + 57134889.

Almost surely, 2^{5536181985600} is an apocalyptic number.

5536181985600 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 5536181985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10385239072000).

5536181985600 is an abundant number, since it is smaller than the sum of its proper divisors (15234296158400).

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

5536181985600 is a wasteful number, since it uses less digits than its factorization.

5536181985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98710 (or 98695 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 57.

The spelling of 5536181985600 in words is "five trillion, five hundred thirty-six billion, one hundred eighty-one million, nine hundred eighty-five thousand, six hundred".