10429585920 has 800 divisors, whose sum is σ = 41549496912. Its totient is φ = 2484338688.

The previous prime is 10429585889. The next prime is 10429585921. The reversal of 10429585920 is 2958592401.

It is a happy number.

10429585920 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 9 + 58 + 592 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3996262656 + 6433323264 = 63216^2 + 80208^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10429585921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 142871004 + ... + 142871076.

Almost surely, 2^10429585920 is an apocalyptic number.

10429585920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10429585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20774748456).

10429585920 is an abundant number, since it is smaller than the sum of its proper divisors (31119910992).

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

10429585920 is an equidigital number, since it uses as much as digits as its factorization.

10429585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10429585920 in words is "ten billion, four hundred twenty-nine million, five hundred eighty-five thousand, nine hundred twenty".