10669259974464 has 896 divisors, whose sum is σ = 41138265907200. Its totient is φ = 2665711835136.

The previous prime is 10669259974459. The next prime is 10669259974489. The reversal of 10669259974464 is 46447995296601.

It is a happy number.

10669259974464 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 9 + 2 + 5 + 99 + 74 + 464 = 666.

It is a super-2 number, since 2×10669259974464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10669259974392 and 10669259974401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241982629 + ... + 242026715.

It is an arithmetic number, because the mean of its divisors is an integer number (45913243200).

Almost surely, 2^{10669259974464} is an apocalyptic number.

10669259974464 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 10669259974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20569132953600).

10669259974464 is an abundant number, since it is smaller than the sum of its proper divisors (30469005932736).

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

10669259974464 is an equidigital number, since it uses as much as digits as its factorization.

10669259974464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44159 (or 44131 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 10669259974464 in words is "ten trillion, six hundred sixty-nine billion, two hundred fifty-nine million, nine hundred seventy-four thousand, four hundred sixty-four".