10005404792 has 32 divisors (see below), whose sum is σ = 18951045120. Its totient is φ = 4951870560.

The previous prime is 10005404789. The next prime is 10005404797. The reversal of 10005404792 is 29740450001.

It is a happy number.

10005404792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10005404792³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005404797) 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, 1217417 + ... + 1225607.

It is an arithmetic number, because the mean of its divisors is an integer number (592220160).

Almost surely, 2^10005404792 is an apocalyptic number.

It is an amenable number.

10005404792 is a deficient number, since it is larger than the sum of its proper divisors (8945640328).

10005404792 is a wasteful number, since it uses less digits than its factorization.

10005404792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9731 (or 9727 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 10005404792 its reverse (29740450001), we get a palindrome (39745854793).

The spelling of 10005404792 in words is "ten billion, five million, four hundred four thousand, seven hundred ninety-two".