75904119016209 has 45 divisors (see below), whose sum is σ = 124634105497209. Its totient is φ = 46001973635640.

The previous prime is 75904119016207. The next prime is 75904119016211. The reversal of 75904119016209 is 90261091140957.

It is a happy number.

The square root of 75904119016209 is 8712297.

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

75904119016209 is a `hidden beast` number, since 7 + 5 + 9 + 0 + 4 + 1 + 1 + 9 + 0 + 1 + 620 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (75904119016207) and next prime (75904119016211).

It is not a de Polignac number, because 75904119016209 - 2¹ = 75904119016207 is a prime.

It is a super-2 number, since 2×75904119016209² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75904119016207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 862473402 + ... + 862561404.

Almost surely, 2^{75904119016209} is an apocalyptic number.

75904119016209 is the 8712297-th square number.

75904119016209 is the 4356149-th centered octagonal number.

It is an amenable number.

75904119016209 is a deficient number, since it is larger than the sum of its proper divisors (48729986481000).

75904119016209 is an frugal number, since it uses more digits than its factorization.

75904119016209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176040 (or 88017 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 75904119016209 in words is "seventy-five trillion, nine hundred four billion, one hundred nineteen million, sixteen thousand, two hundred nine".