10689390125568 has 2240 divisors, whose sum is σ = 42331991150592. Its totient is φ = 2613213757440.

The previous prime is 10689390125563. The next prime is 10689390125597. The reversal of 10689390125568 is 86552109398601.

10689390125568 is a `hidden beast` number, since 1 + 0 + 68 + 9 + 3 + 9 + 0 + 1 + 2 + 5 + 568 = 666.

It is a super-2 number, since 2×10689390125568² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10689390125563) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 68085287346 + ... + 68085287502.

Almost surely, 2^{10689390125568} is an apocalyptic number.

10689390125568 is a gapful number since it is divisible by the number (18) 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 10689390125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21165995575296).

10689390125568 is an abundant number, since it is smaller than the sum of its proper divisors (31642601025024).

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

10689390125568 is a wasteful number, since it uses less digits than its factorization.

10689390125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 10689390125568 in words is "ten trillion, six hundred eighty-nine billion, three hundred ninety million, one hundred twenty-five thousand, five hundred sixty-eight".