10828046766000 has 160 divisors (see below), whose sum is σ = 36427432923648. Its totient is φ = 2761936531200.

The previous prime is 10828046765951. The next prime is 10828046766079. The reversal of 10828046766000 is 66764082801.

10828046766000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39094054 + ... + 39370053.

Almost surely, 2^{10828046766000} is an apocalyptic number.

10828046766000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10828046766000 is an abundant number, since it is smaller than the sum of its proper divisors (25599386157648).

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

10828046766000 is a wasteful number, since it uses less digits than its factorization.

10828046766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78464156 (or 78464140 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 10828046766000 in words is "ten trillion, eight hundred twenty-eight billion, forty-six million, seven hundred sixty-six thousand".