10677188224696 has 192 divisors, whose sum is σ = 25338186288000. Its totient is φ = 4191749533440.

The previous prime is 10677188224679. The next prime is 10677188224721. The reversal of 10677188224696 is 69642288177601.

It is a super-2 number, since 2×10677188224696² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26606191 + ... + 27004513.

It is an arithmetic number, because the mean of its divisors is an integer number (131969720250).

Almost surely, 2^{10677188224696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10677188224696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669093144000).

10677188224696 is an abundant number, since it is smaller than the sum of its proper divisors (14660998063304).

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

10677188224696 is a wasteful number, since it uses less digits than its factorization.

10677188224696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398482 (or 398471 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 67.

The spelling of 10677188224696 in words is "ten trillion, six hundred seventy-seven billion, one hundred eighty-eight million, two hundred twenty-four thousand, six hundred ninety-six".