82821224871 has 320 divisors, whose sum is σ = 166349821440. Its totient is φ = 40327580160.

The previous prime is 82821224867. The next prime is 82821224951. The reversal of 82821224871 is 17842212828.

82821224871 = T₁₉₉₇₀ + T₁₉₉₇₁ + ... + T₂₀₃₇₆.

82821224871 is a `hidden beast` number, since 82 + 82 + 12 + 2 + 487 + 1 = 666.

It is not a de Polignac number, because 82821224871 - 2² = 82821224867 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82821224831) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1134537291 + ... + 1134537363.

It is an arithmetic number, because the mean of its divisors is an integer number (519843192).

Almost surely, 2^82821224871 is an apocalyptic number.

82821224871 is an abundant number, since it is smaller than the sum of its proper divisors (83528596569).

82821224871 is a wasteful number, since it uses less digits than its factorization.

82821224871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The spelling of 82821224871 in words is "eighty-two billion, eight hundred twenty-one million, two hundred twenty-four thousand, eight hundred seventy-one".