83824693005875 has 64 divisors (see below), whose sum is σ = 108622542188160. Its totient is φ = 64507046284800.

The previous prime is 83824693005869. The next prime is 83824693005913. The reversal of 83824693005875 is 57850039642838.

It is a happy number.

It is not a de Polignac number, because 83824693005875 - 2¹² = 83824693001779 is a prime.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2623030397 + ... + 2623062353.

It is an arithmetic number, because the mean of its divisors is an integer number (1697227221690).

Almost surely, 2^{83824693005875} is an apocalyptic number.

83824693005875 is a deficient number, since it is larger than the sum of its proper divisors (24797849182285).

83824693005875 is a wasteful number, since it uses less digits than its factorization.

83824693005875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34665 (or 34655 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 68.

The spelling of 83824693005875 in words is "eighty-three trillion, eight hundred twenty-four billion, six hundred ninety-three million, five thousand, eight hundred seventy-five".