10813768896000 has 640 divisors, whose sum is σ = 41246813177856. Its totient is φ = 2462239948800.

The previous prime is 10813768895929. The next prime is 10813768896001. The reversal of 10813768896000 is 69886731801.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10813768896001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 353456704 + ... + 353487296.

Almost surely, 2^{10813768896000} is an apocalyptic number.

10813768896000 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 10813768896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623406588928).

10813768896000 is an abundant number, since it is smaller than the sum of its proper divisors (30433044281856).

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

10813768896000 is an equidigital number, since it uses as much as digits as its factorization.

10813768896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30899 (or 30873 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 10813768896000 in words is "ten trillion, eight hundred thirteen billion, seven hundred sixty-eight million, eight hundred ninety-six thousand".