211142319975 has 48 divisors (see below), whose sum is σ = 387972980640. Its totient is φ = 112581158400.

The previous prime is 211142319961. The next prime is 211142320001. The reversal of 211142319975 is 579913241112.

211142319975 is a `hidden beast` number, since 21 + 11 + 423 + 199 + 7 + 5 = 666.

It is not a de Polignac number, because 211142319975 - 2⁶ = 211142319911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 211142319975.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2825797 + ... + 2899553.

It is an arithmetic number, because the mean of its divisors is an integer number (8082770430).

Almost surely, 2^211142319975 is an apocalyptic number.

211142319975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

211142319975 is a deficient number, since it is larger than the sum of its proper divisors (176830660665).

211142319975 is a wasteful number, since it uses less digits than its factorization.

211142319975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78017 (or 78006 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The spelling of 211142319975 in words is "two hundred eleven billion, one hundred forty-two million, three hundred nineteen thousand, nine hundred seventy-five".