5536975104 has 288 divisors, whose sum is σ = 17689593600. Its totient is φ = 1703116800.

The previous prime is 5536975097. The next prime is 5536975121. The reversal of 5536975104 is 4015796355.

5536975104 is a `hidden beast` number, since 5 + 536 + 9 + 7 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5536975104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4609704 + ... + 4610904.

It is an arithmetic number, because the mean of its divisors is an integer number (61422200).

Almost surely, 2^5536975104 is an apocalyptic number.

5536975104 is a gapful number since it is divisible by the number (54) 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 5536975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844796800).

5536975104 is an abundant number, since it is smaller than the sum of its proper divisors (12152618496).

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

5536975104 is a wasteful number, since it uses less digits than its factorization.

5536975104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 5536975104 is about 74410.8534019064. The cubic root of 5536975104 is about 1769.1209424088.

The spelling of 5536975104 in words is "five billion, five hundred thirty-six million, nine hundred seventy-five thousand, one hundred four".