10629107712 has 312 divisors, whose sum is σ = 32558242080. Its totient is φ = 3463741440.

The previous prime is 10629107707. The next prime is 10629107767. The reversal of 10629107712 is 21770192601.

It is a happy number.

10629107712 is a `hidden beast` number, since 1 + 0 + 629 + 10 + 7 + 7 + 12 = 666.

It is a super-2 number, since 2×10629107712² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 58724262 + ... + 58724442.

It is an arithmetic number, because the mean of its divisors is an integer number (104353340).

Almost surely, 2^10629107712 is an apocalyptic number.

10629107712 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 10629107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279121040).

10629107712 is an abundant number, since it is smaller than the sum of its proper divisors (21929134368).

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

10629107712 is an frugal number, since it uses more digits than its factorization.

10629107712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

It can be divided in two parts, 10629 and 107712, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 10629107712 in words is "ten billion, six hundred twenty-nine million, one hundred seven thousand, seven hundred twelve".