10689063606144 has 1280 divisors, whose sum is σ = 41067224985600. Its totient is φ = 2678427648000.

The previous prime is 10689063606101. The next prime is 10689063606211. The reversal of 10689063606144 is 44160636098601.

10689063606144 is a `hidden beast` number, since 10 + 6 + 8 + 9 + 0 + 6 + 3 + 6 + 0 + 614 + 4 = 666.

It is a super-2 number, since 2×10689063606144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12893924322 + ... + 12893925150.

It is an arithmetic number, because the mean of its divisors is an integer number (32083769520).

Almost surely, 2^{10689063606144} is an apocalyptic number.

10689063606144 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 10689063606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20533612492800).

10689063606144 is an abundant number, since it is smaller than the sum of its proper divisors (30378161379456).

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

10689063606144 is a wasteful number, since it uses less digits than its factorization.

10689063606144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 10689063606144 in words is "ten trillion, six hundred eighty-nine billion, sixty-three million, six hundred six thousand, one hundred forty-four".