53795168217 has 96 divisors (see below), whose sum is σ = 96665886720. Its totient is φ = 28132634880.

The previous prime is 53795168201. The next prime is 53795168233. The reversal of 53795168217 is 71286159735.

53795168217 is a `hidden beast` number, since 5 + 37 + 9 + 516 + 82 + 17 = 666.

It is an interprime number because it is at equal distance from previous prime (53795168201) and next prime (53795168233).

It is not a de Polignac number, because 53795168217 - 2⁴ = 53795168201 is a prime.

It is a super-3 number, since 3×53795168217³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (53795168417) 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 95 ways as a sum of consecutive naturals, for example, 30686613 + ... + 30688365.

It is an arithmetic number, because the mean of its divisors is an integer number (1006936320).

Almost surely, 2^53795168217 is an apocalyptic number.

53795168217 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

53795168217 is a deficient number, since it is larger than the sum of its proper divisors (42870718503).

53795168217 is a wasteful number, since it uses less digits than its factorization.

53795168217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2640 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 53795168217 in words is "fifty-three billion, seven hundred ninety-five million, one hundred sixty-eight thousand, two hundred seventeen".