90688671020016 has 80 divisors (see below), whose sum is σ = 260311266071200. Its totient is φ = 30229418598912.

The previous prime is 90688671019967. The next prime is 90688671020041. The reversal of 90688671020016 is 61002017688609.

It is a super-3 number, since 3×90688671020016³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144647820 + ... + 145273428.

It is an arithmetic number, because the mean of its divisors is an integer number (3253890825890).

Almost surely, 2^{90688671020016} is an apocalyptic number.

It is an amenable number.

90688671020016 is an abundant number, since it is smaller than the sum of its proper divisors (169622595051184).

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

90688671020016 is a wasteful number, since it uses less digits than its factorization.

90688671020016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961183 (or 961171 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 90688671020016 in words is "ninety trillion, six hundred eighty-eight billion, six hundred seventy-one million, twenty thousand, sixteen".