5536312136355 has 192 divisors, whose sum is σ = 12075017923584. Its totient is φ = 2107599436800.

The previous prime is 5536312136351. The next prime is 5536312136371.

5536312136355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5536312136355 - 2² = 5536312136351 is a prime.

It is a super-2 number, since 2×5536312136355² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5536312136351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21508677 + ... + 21764553.

It is an arithmetic number, because the mean of its divisors is an integer number (62890718352).

Almost surely, 2^{5536312136355} is an apocalyptic number.

5536312136355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5536312136355 is an abundant number, since it is smaller than the sum of its proper divisors (6538705787229).

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

5536312136355 is a wasteful number, since it uses less digits than its factorization.

5536312136355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256058 (or 256047 counting only the distinct ones).

The product of its digits is 3645000, while the sum is 48.

The spelling of 5536312136355 in words is "five trillion, five hundred thirty-six billion, three hundred twelve million, one hundred thirty-six thousand, three hundred fifty-five".