8353126890 has 192 divisors, whose sum is σ = 23478698880. Its totient is φ = 2113056000.

The previous prime is 8353126849. The next prime is 8353126907. The reversal of 8353126890 is 986213538.

It is a happy number.

8353126890 is a `hidden beast` number, since 8 + 3 + 531 + 26 + 8 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 33279265 + ... + 33279515.

It is an arithmetic number, because the mean of its divisors is an integer number (122284890).

Almost surely, 2^8353126890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8353126890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11739349440).

8353126890 is an abundant number, since it is smaller than the sum of its proper divisors (15125571990).

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

8353126890 is a wasteful number, since it uses less digits than its factorization.

8353126890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8353126890 is about 91395.4423918392. The cubic root of 8353126890 is about 2029.0045747757.

The spelling of 8353126890 in words is "eight billion, three hundred fifty-three million, one hundred twenty-six thousand, eight hundred ninety".