10689085440 has 384 divisors, whose sum is σ = 40484901600. Its totient is φ = 2587361280.

The previous prime is 10689085439. The next prime is 10689085447. The reversal of 10689085440 is 4458098601.

10689085440 is a `hidden beast` number, since 10 + 6 + 8 + 90 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10689085440² (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 not an unprimeable number, because it can be changed into a prime (10689085447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16219831 + ... + 16220489.

Almost surely, 2^10689085440 is an apocalyptic number.

10689085440 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 10689085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20242450800).

10689085440 is an abundant number, since it is smaller than the sum of its proper divisors (29795816160).

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

10689085440 is an equidigital number, since it uses as much as digits as its factorization.

10689085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10689085440 in words is "ten billion, six hundred eighty-nine million, eighty-five thousand, four hundred forty".