10159943904 has 288 divisors, whose sum is σ = 32226955488. Its totient is φ = 3010560000.

The previous prime is 10159943887. The next prime is 10159943909. The reversal of 10159943904 is 40934995101.

10159943904 is a `hidden beast` number, since 10 + 1 + 599 + 43 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10159943904² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10159943904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10159943909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36156244 + ... + 36156524.

It is an arithmetic number, because the mean of its divisors is an integer number (111899151).

Almost surely, 2^10159943904 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 10159943904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16113477744).

10159943904 is an abundant number, since it is smaller than the sum of its proper divisors (22067011584).

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

10159943904 is a wasteful number, since it uses less digits than its factorization.

10159943904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10159943904 in words is "ten billion, one hundred fifty-nine million, nine hundred forty-three thousand, nine hundred four".