10217729312 has 72 divisors (see below), whose sum is σ = 23898478464. Its totient is φ = 4285825152.

The previous prime is 10217729309. The next prime is 10217729329. The reversal of 10217729312 is 21392771201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4373 + ... + 143019.

It is an arithmetic number, because the mean of its divisors is an integer number (331923312).

Almost surely, 2^10217729312 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 10217729312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11949239232).

10217729312 is an abundant number, since it is smaller than the sum of its proper divisors (13680749152).

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

10217729312 is a wasteful number, since it uses less digits than its factorization.

10217729312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138718 (or 138703 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The spelling of 10217729312 in words is "ten billion, two hundred seventeen million, seven hundred twenty-nine thousand, three hundred twelve".