75830361211969 has 135 divisors (see below), whose sum is σ = 101748382476957. Its totient is φ = 56337963042816.

The previous prime is 75830361211877. The next prime is 75830361212077. The reversal of 75830361211969 is 96911216303857.

It is a happy number.

The square root of 75830361211969 is 8708063.

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

It can be written as a sum of positive squares in 22 ways, for example, as 27123920211969 + 48706441000000 = 5208063^2 + 6979000^2 .

It is not a de Polignac number, because 75830361211969 - 2⁹ = 75830361211457 is a prime.

It is a super-2 number, since 2×75830361211969² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75830361211169) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 175127854777 + ... + 175127855209.

Almost surely, 2^{75830361211969} is an apocalyptic number.

75830361211969 is the 8708063-rd square number.

75830361211969 is the 4354032-nd centered octagonal number.

It is an amenable number.

75830361211969 is a deficient number, since it is larger than the sum of its proper divisors (25918021264988).

75830361211969 is an frugal number, since it uses more digits than its factorization.

75830361211969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 75830361211969 in words is "seventy-five trillion, eight hundred thirty billion, three hundred sixty-one million, two hundred eleven thousand, nine hundred sixty-nine".