10828101009664 has 27 divisors (see below), whose sum is σ = 21614009844063. Its totient is φ = 5414024179968.

The previous prime is 10828101009659. The next prime is 10828101009767. The reversal of 10828101009664 is 46690010182801.

The square root of 10828101009664 is 3290608.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 52546897 + ... + 52752559.

Almost surely, 2^{10828101009664} is an apocalyptic number.

10828101009664 is the 3290608-th square number.

It is an amenable number.

10828101009664 is a deficient number, since it is larger than the sum of its proper divisors (10785908834399).

10828101009664 is an frugal number, since it uses more digits than its factorization.

10828101009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411342 (or 205665 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 10828101009664 in words is "ten trillion, eight hundred twenty-eight billion, one hundred one million, nine thousand, six hundred sixty-four".