10189904544 has 192 divisors, whose sum is σ = 31325978880. Its totient is φ = 3216153600.

The previous prime is 10189904519. The next prime is 10189904581. The reversal of 10189904544 is 44540998101.

It is a happy number.

10189904544 is a `hidden beast` number, since 1 + 0 + 18 + 9 + 90 + 4 + 544 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10189904544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004534 + ... + 2009610.

It is an arithmetic number, because the mean of its divisors is an integer number (163156140).

Almost surely, 2^10189904544 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 10189904544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15662989440).

10189904544 is an abundant number, since it is smaller than the sum of its proper divisors (21136074336).

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

10189904544 is a wasteful number, since it uses less digits than its factorization.

10189904544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5220 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10189904544 in words is "ten billion, one hundred eighty-nine million, nine hundred four thousand, five hundred forty-four".