90875688657809 has 48 divisors (see below), whose sum is σ = 107308608865920. Its totient is φ = 76280529162240.

The previous prime is 90875688657797. The next prime is 90875688657821.

It is a happy number.

90875688657809 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (90875688657797) and next prime (90875688657821).

It is not a de Polignac number, because 90875688657809 - 2⁴⁴ = 73283502613393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90875688657869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2726608457 + ... + 2726641785.

It is an arithmetic number, because the mean of its divisors is an integer number (2235596018040).

Almost surely, 2^{90875688657809} is an apocalyptic number.

It is an amenable number.

90875688657809 is a deficient number, since it is larger than the sum of its proper divisors (16432920208111).

90875688657809 is a wasteful number, since it uses less digits than its factorization.

90875688657809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49610 (or 49593 counting only the distinct ones).

The product of its (nonzero) digits is 14631321600, while the sum is 86.

The spelling of 90875688657809 in words is "ninety trillion, eight hundred seventy-five billion, six hundred eighty-eight million, six hundred fifty-seven thousand, eight hundred nine".