11752166201217 has 64 divisors (see below), whose sum is σ = 17631474094080. Its totient is φ = 6908683186944.

The previous prime is 11752166201177. The next prime is 11752166201221. The reversal of 11752166201217 is 71210266125711.

It is not a de Polignac number, because 11752166201217 - 2⁴⁰ = 10652654573441 is a prime.

It is a super-3 number, since 3×11752166201217³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11752166201257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3816876084 + ... + 3816879162.

It is an arithmetic number, because the mean of its divisors is an integer number (275491782720).

Almost surely, 2^{11752166201217} is an apocalyptic number.

It is an amenable number.

11752166201217 is a deficient number, since it is larger than the sum of its proper divisors (5879307892863).

11752166201217 is a wasteful number, since it uses less digits than its factorization.

11752166201217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262.

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 11752166201217 in words is "eleven trillion, seven hundred fifty-two billion, one hundred sixty-six million, two hundred one thousand, two hundred seventeen".