882875105280 has 408 divisors, whose sum is σ = 3497922185472. Its totient is φ = 201795305472.

The previous prime is 882875105279. The next prime is 882875105297. The reversal of 882875105280 is 82501578288.

882875105280 is a `hidden beast` number, since 88 + 28 + 7 + 5 + 10 + 528 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20622457 + ... + 20665223.

Almost surely, 2^882875105280 is an apocalyptic number.

882875105280 is a gapful number since it is divisible by the number (80) 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 882875105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748961092736).

882875105280 is an abundant number, since it is smaller than the sum of its proper divisors (2615047080192).

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

882875105280 is an equidigital number, since it uses as much as digits as its factorization.

882875105280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42817 (or 42784 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 882875105280 in words is "eight hundred eighty-two billion, eight hundred seventy-five million, one hundred five thousand, two hundred eighty".