82627008021 has 12 divisors (see below), whose sum is σ = 119364580972. Its totient is φ = 55077998976.

The previous prime is 82627008019. The next prime is 82627008031. The reversal of 82627008021 is 12080072628.

It is a happy number.

82627008021 is a `hidden beast` number, since 8 + 2 + 627 + 0 + 0 + 8 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78870543921 + 3756464100 = 280839^2 + 61290^2 .

It is not a de Polignac number, because 82627008021 - 2¹ = 82627008019 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82627008031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 477076 + ... + 626781.

Almost surely, 2^82627008021 is an apocalyptic number.

It is an amenable number.

82627008021 is a deficient number, since it is larger than the sum of its proper divisors (36737572951).

82627008021 is a wasteful number, since it uses less digits than its factorization.

82627008021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112180 (or 1112177 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 82627008021 in words is "eighty-two billion, six hundred twenty-seven million, eight thousand, twenty-one".