89912100168 has 480 divisors, whose sum is σ = 290322869760. Its totient is φ = 25945920000.

The previous prime is 89912100077. The next prime is 89912100191. The reversal of 89912100168 is 86100121998.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 172575748 + ... + 172576268.

It is an arithmetic number, because the mean of its divisors is an integer number (604839312).

Almost surely, 2^89912100168 is an apocalyptic number.

89912100168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89912100168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145161434880).

89912100168 is an abundant number, since it is smaller than the sum of its proper divisors (200410769592).

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

89912100168 is a wasteful number, since it uses less digits than its factorization.

89912100168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 89912100168 in words is "eighty-nine billion, nine hundred twelve million, one hundred thousand, one hundred sixty-eight".