10200760862769 has 27 divisors (see below), whose sum is σ = 14802239790273. Its totient is φ = 6769354302144.

The previous prime is 10200760862729. The next prime is 10200760862807. The reversal of 10200760862769 is 96726806700201.

The square root of 10200760862769 is 3193863.

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

10200760862769 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 7 + 6 + 0 + 8 + 627 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8565789467169 + 1634971395600 = 2926737^2 + 1278660^2 .

It is not a de Polignac number, because 10200760862769 - 2⁷ = 10200760862641 is a prime.

It is a super-2 number, since 2×10200760862769² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10200760862729) 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, 2194181557 + ... + 2194186205.

Almost surely, 2^{10200760862769} is an apocalyptic number.

10200760862769 is the 3193863-rd square number.

10200760862769 is the 1596932-nd centered octagonal number.

It is an amenable number.

10200760862769 is a deficient number, since it is larger than the sum of its proper divisors (4601478927504).

10200760862769 is an frugal number, since it uses more digits than its factorization.

10200760862769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9762 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10200760862769 in words is "ten trillion, two hundred billion, seven hundred sixty million, eight hundred sixty-two thousand, seven hundred sixty-nine".