10879028428799 has 16 divisors (see below), whose sum is σ = 11821660416000. Its totient is φ = 9973437867360.

The previous prime is 10879028428781. The next prime is 10879028428823. The reversal of 10879028428799 is 99782482097801.

It is a cyclic number.

It is not a de Polignac number, because 10879028428799 - 2¹⁶ = 10879028363263 is a prime.

It is a super-2 number, since 2×10879028428799² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10879028428199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10507517 + ... + 11496345.

It is an arithmetic number, because the mean of its divisors is an integer number (738853776000).

Almost surely, 2^{10879028428799} is an apocalyptic number.

10879028428799 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10879028428799 is a deficient number, since it is larger than the sum of its proper divisors (942631987201).

10879028428799 is a wasteful number, since it uses less digits than its factorization.

10879028428799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007558.

The product of its (nonzero) digits is 292626432, while the sum is 74.

The spelling of 10879028428799 in words is "ten trillion, eight hundred seventy-nine billion, twenty-eight million, four hundred twenty-eight thousand, seven hundred ninety-nine".