10689361920 has 144 divisors (see below), whose sum is σ = 37047727080. Its totient is φ = 2850471936.

The previous prime is 10689361909. The next prime is 10689361927. The reversal of 10689361920 is 2916398601.

It is a happy number.

10689361920 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 9 + 3 + 619 + 20 = 666.

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

It is a super-2 number, since 2×10689361920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10689361927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34167 + ... + 150153.

Almost surely, 2^10689361920 is an apocalyptic number.

10689361920 is a gapful number since it is divisible by the number (10) 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 10689361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18523863540).

10689361920 is an abundant number, since it is smaller than the sum of its proper divisors (26358365160).

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

10689361920 is a wasteful number, since it uses less digits than its factorization.

10689361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116020 (or 115997 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 10689361920 in words is "ten billion, six hundred eighty-nine million, three hundred sixty-one thousand, nine hundred twenty".