10430206353889 has 27 divisors (see below), whose sum is σ = 12205289490201. Its totient is φ = 8887295682720.

The previous prime is 10430206353883. The next prime is 10430206353923. The reversal of 10430206353889 is 98835360203401.

The square root of 10430206353889 is 3229583.

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

It can be written as a sum of positive squares in 4 ways, for example, as 309154904289 + 10121051449600 = 556017^2 + 3181360^2 .

It is not a de Polignac number, because 10430206353889 - 2⁵ = 10430206353857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10430206353883) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4091880387 + ... + 4091882935.

Almost surely, 2^{10430206353889} is an apocalyptic number.

10430206353889 is the 3229583-rd square number.

10430206353889 is the 1614792-nd centered octagonal number.

It is an amenable number.

10430206353889 is a deficient number, since it is larger than the sum of its proper divisors (1775083136312).

10430206353889 is an frugal number, since it uses more digits than its factorization.

10430206353889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 10430206353889 in words is "ten trillion, four hundred thirty billion, two hundred six million, three hundred fifty-three thousand, eight hundred eighty-nine".