10796636928000 has 3072 divisors, whose sum is σ = 47269654548480. Its totient is φ = 2123366400000.

The previous prime is 10796636927971. The next prime is 10796636928013. The reversal of 10796636928000 is 82963669701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3072).

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 255 ways as a sum of consecutive naturals, for example, 147899135964 + ... + 147899136036.

It is an arithmetic number, because the mean of its divisors is an integer number (15387257340).

Almost surely, 2^{10796636928000} is an apocalyptic number.

10796636928000 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 10796636928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23634827274240).

10796636928000 is an abundant number, since it is smaller than the sum of its proper divisors (36473017620480).

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

10796636928000 is a wasteful number, since it uses less digits than its factorization.

10796636928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 10796636928000 in words is "ten trillion, seven hundred ninety-six billion, six hundred thirty-six million, nine hundred twenty-eight thousand".