10006289472 has 224 divisors, whose sum is σ = 28998623232. Its totient is φ = 3035805696.

The previous prime is 10006289429. The next prime is 10006289479. The reversal of 10006289472 is 27498260001.

It is a self number, because there is not a number n which added to its sum of digits gives 10006289472.

It is not an unprimeable number, because it can be changed into a prime (10006289479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7678773 + ... + 7680075.

Almost surely, 2^10006289472 is an apocalyptic number.

10006289472 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 10006289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14499311616).

10006289472 is an abundant number, since it is smaller than the sum of its proper divisors (18992333760).

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

10006289472 is a wasteful number, since it uses less digits than its factorization.

10006289472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10006289472 in words is "ten billion, six million, two hundred eighty-nine thousand, four hundred seventy-two".