10810673768328 has 192 divisors, whose sum is σ = 33172911072000. Its totient is φ = 2919211118208.

The previous prime is 10810673768287. The next prime is 10810673768369. The reversal of 10810673768328 is 82386737601801.

It is a happy number.

10810673768328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10810673768287) and next prime (10810673768369).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8784775 + ... + 9939497.

It is an arithmetic number, because the mean of its divisors is an integer number (172775578500).

Almost surely, 2^{10810673768328} 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 10810673768328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16586455536000).

10810673768328 is an abundant number, since it is smaller than the sum of its proper divisors (22362237303672).

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

10810673768328 is a wasteful number, since it uses less digits than its factorization.

10810673768328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155184 (or 1155173 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 10810673768328 in words is "ten trillion, eight hundred ten billion, six hundred seventy-three million, seven hundred sixty-eight thousand, three hundred twenty-eight".