882827890812 has 144 divisors (see below), whose sum is σ = 2568968962560. Its totient is φ = 250405658496.

The previous prime is 882827890787. The next prime is 882827890837. The reversal of 882827890812 is 218098728288.

It is an interprime number because it is at equal distance from previous prime (882827890787) and next prime (882827890837).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 882827890812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20002633 + ... + 20046719.

It is an arithmetic number, because the mean of its divisors is an integer number (17840062240).

Almost surely, 2^882827890812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882827890812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284484481280).

882827890812 is an abundant number, since it is smaller than the sum of its proper divisors (1686141071748).

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

882827890812 is a wasteful number, since it uses less digits than its factorization.

882827890812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44680 (or 44675 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 63.

The spelling of 882827890812 in words is "eight hundred eighty-two billion, eight hundred twenty-seven million, eight hundred ninety thousand, eight hundred twelve".