10689313824 has 192 divisors, whose sum is σ = 35751905280. Its totient is φ = 3043733760.

The previous prime is 10689313813. The next prime is 10689313829. The reversal of 10689313824 is 42831398601.

It is a super-2 number, since 2×10689313824² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10689313824.

It is not an unprimeable number, because it can be changed into a prime (10689313829) 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, 1878087 + ... + 1883769.

It is an arithmetic number, because the mean of its divisors is an integer number (186207840).

Almost surely, 2^10689313824 is an apocalyptic number.

10689313824 is a gapful number since it is divisible by the number (14) 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 10689313824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17875952640).

10689313824 is an abundant number, since it is smaller than the sum of its proper divisors (25062591456).

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

10689313824 is a wasteful number, since it uses less digits than its factorization.

10689313824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10689313824 in words is "ten billion, six hundred eighty-nine million, three hundred thirteen thousand, eight hundred twenty-four".