10689106701600 has 576 divisors, whose sum is σ = 40452840852480. Its totient is φ = 2720679321600.

The previous prime is 10689106701587. The next prime is 10689106701641. The reversal of 10689106701600 is 610760198601.

It is a super-2 number, since 2×10689106701600² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48771462 + ... + 48990138.

It is an arithmetic number, because the mean of its divisors is an integer number (70230626480).

Almost surely, 2^{10689106701600} is an apocalyptic number.

10689106701600 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 10689106701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20226420426240).

10689106701600 is an abundant number, since it is smaller than the sum of its proper divisors (29763734150880).

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

10689106701600 is a wasteful number, since it uses less digits than its factorization.

10689106701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218810 (or 218791 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10689106701600 in words is "ten trillion, six hundred eighty-nine billion, one hundred six million, seven hundred one thousand, six hundred".