10879028428800 has 1056 divisors, whose sum is σ = 42289848526464. Its totient is φ = 2415919104000.

The previous prime is 10879028428781. The next prime is 10879028428823. The reversal of 10879028428800 is 882482097801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45141196680 + ... + 45141196920.

It is an arithmetic number, because the mean of its divisors is an integer number (40047205044).

Almost surely, 2^{10879028428800} is an apocalyptic number.

10879028428800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10879028428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144924263232).

10879028428800 is an abundant number, since it is smaller than the sum of its proper divisors (31410820097664).

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

10879028428800 is an frugal number, since it uses more digits than its factorization.

10879028428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 10879028428800 in words is "ten trillion, eight hundred seventy-nine billion, twenty-eight million, four hundred twenty-eight thousand, eight hundred".