10879028428801 has 32 divisors (see below), whose sum is σ = 12949175762208. Its totient is φ = 9045263831040.

The previous prime is 10879028428781. The next prime is 10879028428823. The reversal of 10879028428801 is 10882482097801.

It can be written as a sum of positive squares in 16 ways, for example, as 405546080625 + 10473482348176 = 636825^2 + 3236276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10879028428801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10879028228801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10406470 + ... + 11404063.

It is an arithmetic number, because the mean of its divisors is an integer number (404661742569).

Almost surely, 2^{10879028428801} is an apocalyptic number.

It is an amenable number.

10879028428801 is a deficient number, since it is larger than the sum of its proper divisors (2070147333407).

10879028428801 is a wasteful number, since it uses less digits than its factorization.

10879028428801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21810661.

The product of its (nonzero) digits is 4128768, while the sum is 58.

The spelling of 10879028428801 in words is "ten trillion, eight hundred seventy-nine billion, twenty-eight million, four hundred twenty-eight thousand, eight hundred one".