10197720531769 has 27 divisors (see below), whose sum is σ = 10853936111109. Its totient is φ = 9579777793560.

The previous prime is 10197720531749. The next prime is 10197720531773. The reversal of 10197720531769 is 96713502779101.

It is a happy number.

The square root of 10197720531769 is 3193387.

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

It is a de Polignac number, because none of the positive numbers 2^k-10197720531769 is a prime.

It is a super-2 number, since 2×10197720531769² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10197720531749) 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 26 ways as a sum of consecutive naturals, for example, 7948339602 + ... + 7948340884.

Almost surely, 2^{10197720531769} is an apocalyptic number.

10197720531769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10197720531769 is the 3193387-th square number.

10197720531769 is the 1596694-th centered octagonal number.

It is an amenable number.

10197720531769 is a deficient number, since it is larger than the sum of its proper divisors (656215579340).

10197720531769 is an frugal number, since it uses more digits than its factorization.

10197720531769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 58.

The spelling of 10197720531769 in words is "ten trillion, one hundred ninety-seven billion, seven hundred twenty million, five hundred thirty-one thousand, seven hundred sixty-nine".