10688833920000 has 440 divisors, whose sum is σ = 36828453934800. Its totient is φ = 2752053248000.

The previous prime is 10688833919969. The next prime is 10688833920001. The reversal of 10688833920000 is 2933888601.

It is a super-2 number, since 2×10688833920000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10688833920001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55584016 + ... + 55775984.

It is an arithmetic number, because the mean of its divisors is an integer number (83701031670).

Almost surely, 2^{10688833920000} is an apocalyptic number.

10688833920000 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 10688833920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18414226967400).

10688833920000 is an abundant number, since it is smaller than the sum of its proper divisors (26139620014800).

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

10688833920000 is an equidigital number, since it uses as much as digits as its factorization.

10688833920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192041 (or 192008 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 10688833920000 in words is "ten trillion, six hundred eighty-eight billion, eight hundred thirty-three million, nine hundred twenty thousand".