890010012160 has 80 divisors (see below), whose sum is σ = 2135197211400. Its totient is φ = 355793944576.

The previous prime is 890010012149. The next prime is 890010012163. The reversal of 890010012160 is 61210010098.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 281884541184 + 608125470976 = 530928^2 + 779824^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (890010012163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4273326 + ... + 4476754.

Almost surely, 2^890010012160 is an apocalyptic number.

890010012160 is a gapful number since it is divisible by the number (80) 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 890010012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067598605700).

890010012160 is an abundant number, since it is smaller than the sum of its proper divisors (1245187199240).

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

890010012160 is a wasteful number, since it uses less digits than its factorization.

890010012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205161 (or 205145 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 890010012160 in words is "eight hundred ninety billion, ten million, twelve thousand, one hundred sixty".