5690128389201 has 81 divisors (see below), whose sum is σ = 8685164895771. Its totient is φ = 3589548415200.

The previous prime is 5690128389193. The next prime is 5690128389217. The reversal of 5690128389201 is 1029838210965.

The square root of 5690128389201 is 2385399.

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

5690128389201 is a `hidden beast` number, since 56 + 9 + 0 + 1 + 2 + 8 + 389 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62700660801 + 5627427728400 = 250401^2 + 2372220^2 .

It is not a de Polignac number, because 5690128389201 - 2³ = 5690128389193 is a prime.

It is a super-2 number, since 2×5690128389201² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5690128389221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29791248016 + ... + 29791248206.

Almost surely, 2^{5690128389201} is an apocalyptic number.

5690128389201 is the 2385399-th square number.

5690128389201 is the 1192700-th centered octagonal number.

It is an amenable number.

5690128389201 is a deficient number, since it is larger than the sum of its proper divisors (2995036506570).

5690128389201 is an equidigital number, since it uses as much as digits as its factorization.

5690128389201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 5690128389201 in words is "five trillion, six hundred ninety billion, one hundred twenty-eight million, three hundred eighty-nine thousand, two hundred one".