10009151712 has 144 divisors (see below), whose sum is σ = 32852488032. Its totient is φ = 2831385600.

The previous prime is 10009151671. The next prime is 10009151729. The reversal of 10009151712 is 21715190001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179038 + ... + 228194.

It is an arithmetic number, because the mean of its divisors is an integer number (228142278).

Almost surely, 2^10009151712 is an apocalyptic number.

10009151712 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 10009151712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426244016).

10009151712 is an abundant number, since it is smaller than the sum of its proper divisors (22843336320).

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

10009151712 is a wasteful number, since it uses less digits than its factorization.

10009151712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49281 (or 49270 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The spelling of 10009151712 in words is "ten billion, nine million, one hundred fifty-one thousand, seven hundred twelve".