83128838508207 has 24 divisors (see below), whose sum is σ = 120323507417568. Its totient is φ = 55304616081600.

The previous prime is 83128838508187. The next prime is 83128838508223. The reversal of 83128838508207 is 70280583882138.

83128838508207 is a `hidden beast` number, since 8 + 3 + 1 + 28 + 83 + 8 + 508 + 20 + 7 = 666.

It is not a de Polignac number, because 83128838508207 - 2¹¹ = 83128838506159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83128838508227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7136782 + ... + 14737412.

It is an arithmetic number, because the mean of its divisors is an integer number (5013479475732).

Almost surely, 2^{83128838508207} is an apocalyptic number.

83128838508207 is a deficient number, since it is larger than the sum of its proper divisors (37194668909361).

83128838508207 is a wasteful number, since it uses less digits than its factorization.

83128838508207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7603151 (or 7603148 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 83128838508207 in words is "eighty-three trillion, one hundred twenty-eight billion, eight hundred thirty-eight million, five hundred eight thousand, two hundred seven".