90688512827 has 16 divisors (see below), whose sum is σ = 101383640064. Its totient is φ = 80403336000.

The previous prime is 90688512821. The next prime is 90688512833. The reversal of 90688512827 is 72821588609.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90688512821) and next prime (90688512833).

It is a cyclic number.

It is not a de Polignac number, because 90688512827 - 2⁶ = 90688512763 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90688512821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222718 + ... + 1294764.

It is an arithmetic number, because the mean of its divisors is an integer number (6336477504).

Almost surely, 2^90688512827 is an apocalyptic number.

90688512827 is a deficient number, since it is larger than the sum of its proper divisors (10695127237).

90688512827 is a wasteful number, since it uses less digits than its factorization.

90688512827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74890.

The product of its (nonzero) digits is 3870720, while the sum is 56.

The spelling of 90688512827 in words is "ninety billion, six hundred eighty-eight million, five hundred twelve thousand, eight hundred twenty-seven".