10689247296 has 756 divisors, whose sum is σ = 40505158512. Its totient is φ = 2785176576.

The previous prime is 10689247223. The next prime is 10689247313. The reversal of 10689247296 is 69274298601.

10689247296 is a `hidden beast` number, since 1 + 0 + 6 + 89 + 2 + 472 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×10689247296² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 128786071 + ... + 128786153.

It is an arithmetic number, because the mean of its divisors is an integer number (53578252).

Almost surely, 2^10689247296 is an apocalyptic number.

10689247296 is a gapful number since it is divisible by the number (16) 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 10689247296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20252579256).

10689247296 is an abundant number, since it is smaller than the sum of its proper divisors (29815911216).

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

10689247296 is an equidigital number, since it uses as much as digits as its factorization.

10689247296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10689247296 in words is "ten billion, six hundred eighty-nine million, two hundred forty-seven thousand, two hundred ninety-six".