82435756221 has 24 divisors (see below), whose sum is σ = 146552456960. Its totient is φ = 43482596256.

The previous prime is 82435756217. The next prime is 82435756237. The reversal of 82435756221 is 12265753428.

82435756221 is a `hidden beast` number, since 8 + 24 + 357 + 56 + 221 = 666.

It is not a de Polignac number, because 82435756221 - 2² = 82435756217 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82435756321) 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 23 ways as a sum of consecutive naturals, for example, 50326261 + ... + 50327898.

Almost surely, 2^82435756221 is an apocalyptic number.

It is an amenable number.

82435756221 is a deficient number, since it is larger than the sum of its proper divisors (64116700739).

82435756221 is a wasteful number, since it uses less digits than its factorization.

82435756221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100654185 (or 100654182 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 82435756221 in words is "eighty-two billion, four hundred thirty-five million, seven hundred fifty-six thousand, two hundred twenty-one".