5736987830401 has 9 divisors (see below), whose sum is σ = 5810718824001. Its totient is φ = 5664180905604.

The previous prime is 5736987830333. The next prime is 5736987830411. The reversal of 5736987830401 is 1040387896375.

The square root of 5736987830401 is 2395201.

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

It is not a de Polignac number, because 5736987830401 - 2¹⁷ = 5736987699329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5736987830401.

It is not an unprimeable number, because it can be changed into a prime (5736987830411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 189205720 + ... + 189236038.

It is an arithmetic number, because the mean of its divisors is an integer number (645635424889).

Almost surely, 2^{5736987830401} is an apocalyptic number.

5736987830401 is the 2395201-st square number.

5736987830401 is the 1197601-st centered octagonal number.

It is an amenable number.

5736987830401 is a deficient number, since it is larger than the sum of its proper divisors (73730993600).

5736987830401 is an frugal number, since it uses more digits than its factorization.

5736987830401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60796 (or 30398 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 5736987830401 in words is "five trillion, seven hundred thirty-six billion, nine hundred eighty-seven million, eight hundred thirty thousand, four hundred one".