5536307820096 has 567 divisors, whose sum is σ = 17310364253091. Its totient is φ = 1691403337728.

The previous prime is 5536307820073. The next prime is 5536307820097. The reversal of 5536307820096 is 6900287036355.

It is a happy number.

The square root of 5536307820096 is 2352936.

It is a perfect power (a square), and thus also a powerful number.

5536307820096 is a `hidden beast` number, since 5 + 5 + 363 + 0 + 78 + 200 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 699123410496 + 4837184409600 = 836136^2 + 2199360^2 .

It is a super-2 number, since 2×5536307820096² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5536307820097) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 70079845785 + ... + 70079845863.

Almost surely, 2^{5536307820096} is an apocalyptic number.

5536307820096 is the 2352936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5536307820096

5536307820096 is an abundant number, since it is smaller than the sum of its proper divisors (11774056432995).

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

5536307820096 is an equidigital number, since it uses as much as digits as its factorization.

5536307820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 5536307820096 in words is "five trillion, five hundred thirty-six billion, three hundred seven million, eight hundred twenty thousand, ninety-six".