10394777668128 has 384 divisors, whose sum is σ = 32819680051200. Its totient is φ = 2816465236992.

The previous prime is 10394777668123. The next prime is 10394777668129. The reversal of 10394777668128 is 82186677749301.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (10394777668123) 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, 1768117093 + ... + 1768122971.

It is an arithmetic number, because the mean of its divisors is an integer number (85467916800).

Almost surely, 2^{10394777668128} 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 10394777668128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16409840025600).

10394777668128 is an abundant number, since it is smaller than the sum of its proper divisors (22424902383072).

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

10394777668128 is a wasteful number, since it uses less digits than its factorization.

10394777668128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 69.

The spelling of 10394777668128 in words is "ten trillion, three hundred ninety-four billion, seven hundred seventy-seven million, six hundred sixty-eight thousand, one hundred twenty-eight".