32788105875 has 96 divisors (see below), whose sum is σ = 68207253504. Its totient is φ = 14842958400.

The previous prime is 32788105843. The next prime is 32788105907. The reversal of 32788105875 is 57850188723.

It is an interprime number because it is at equal distance from previous prime (32788105843) and next prime (32788105907).

It is not a de Polignac number, because 32788105875 - 2⁵ = 32788105843 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 790914 + ... + 831336.

It is an arithmetic number, because the mean of its divisors is an integer number (710492224).

Almost surely, 2^32788105875 is an apocalyptic number.

32788105875 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32788105875 is an abundant number, since it is smaller than the sum of its proper divisors (35419147629).

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

32788105875 is a wasteful number, since it uses less digits than its factorization.

32788105875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40554 (or 40541 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 32788105875 in words is "thirty-two billion, seven hundred eighty-eight million, one hundred five thousand, eight hundred seventy-five".