10429569072 has 400 divisors, whose sum is σ = 35356625920. Its totient is φ = 2939328000.

The previous prime is 10429569047. The next prime is 10429569079. The reversal of 10429569072 is 27096592401.

10429569072 is a `hidden beast` number, since 10 + 4 + 2 + 9 + 569 + 0 + 72 = 666.

It is a super-2 number, since 2×10429569072² (a number of 21 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (10429569079) 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, 9922947 + ... + 9923997.

Almost surely, 2^10429569072 is an apocalyptic number.

10429569072 is a gapful number since it is divisible by the number (12) 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 10429569072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17678312960).

10429569072 is an abundant number, since it is smaller than the sum of its proper divisors (24927056848).

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

10429569072 is a wasteful number, since it uses less digits than its factorization.

10429569072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10429569072 in words is "ten billion, four hundred twenty-nine million, five hundred sixty-nine thousand, seventy-two".