8500190726144 has 96 divisors (see below), whose sum is σ = 18305920301760. Its totient is φ = 3922674794496.

The previous prime is 8500190726087. The next prime is 8500190726161. The reversal of 8500190726144 is 4416270910058.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 295059389 + ... + 295088195.

It is an arithmetic number, because the mean of its divisors is an integer number (190686669810).

Almost surely, 2^{8500190726144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8500190726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9152960150880).

8500190726144 is an abundant number, since it is smaller than the sum of its proper divisors (9805729575616).

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

8500190726144 is a wasteful number, since it uses less digits than its factorization.

8500190726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39925 (or 39905 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 8500190726144 in words is "eight trillion, five hundred billion, one hundred ninety million, seven hundred twenty-six thousand, one hundred forty-four".