82623874905 has 256 divisors, whose sum is σ = 183762432000. Its totient is φ = 34624972800.

The previous prime is 82623874903. The next prime is 82623874951. The reversal of 82623874905 is 50947832628.

82623874905 is a `hidden beast` number, since 8 + 2 + 623 + 8 + 7 + 4 + 9 + 0 + 5 = 666.

It is not a de Polignac number, because 82623874905 - 2¹ = 82623874903 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82623874903) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32643490 + ... + 32646020.

It is an arithmetic number, because the mean of its divisors is an integer number (717822000).

Almost surely, 2^82623874905 is an apocalyptic number.

It is an amenable number.

82623874905 is an abundant number, since it is smaller than the sum of its proper divisors (101138557095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82623874905 is a wasteful number, since it uses less digits than its factorization.

82623874905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 82623874905 in words is "eighty-two billion, six hundred twenty-three million, eight hundred seventy-four thousand, nine hundred five".