10759075690609 has 27 divisors (see below), whose sum is σ = 11762180935713. Its totient is φ = 9839679220224.

The previous prime is 10759075690589. The next prime is 10759075690631. The reversal of 10759075690609 is 90609657095701.

It is a happy number.

The square root of 10759075690609 is 3280103.

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 4141977984225 + 6617097706384 = 2035185^2 + 2572372^2 .

It is not a de Polignac number, because 10759075690609 - 2⁷ = 10759075690481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10759075690009) 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, 1807333777 + ... + 1807339729.

Almost surely, 2^{10759075690609} is an apocalyptic number.

10759075690609 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10759075690609 is the 3280103-rd square number.

10759075690609 is the 1640052-nd centered octagonal number.

It is an amenable number.

10759075690609 is a deficient number, since it is larger than the sum of its proper divisors (1003105245104).

10759075690609 is an frugal number, since it uses more digits than its factorization.

10759075690609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12002 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 64.

Multiplying 10759075690609 by its sum of digits (64), we get a square (688580844198976 = 26240824²).

The spelling of 10759075690609 in words is "ten trillion, seven hundred fifty-nine billion, seventy-five million, six hundred ninety thousand, six hundred nine".