90085168128 has 44 divisors (see below), whose sum is σ = 240109824800. Its totient is φ = 30028388352.

The previous prime is 90085168111. The next prime is 90085168171. The reversal of 90085168128 is 82186158009.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 14659228 + ... + 14665371.

Almost surely, 2^90085168128 is an apocalyptic number.

It is an amenable number.

90085168128 is an abundant number, since it is smaller than the sum of its proper divisors (150024656672).

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

90085168128 is a wasteful number, since it uses less digits than its factorization.

90085168128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29324622 (or 29324604 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 90085168128 in words is "ninety billion, eighty-five million, one hundred sixty-eight thousand, one hundred twenty-eight".