882133386120 has 384 divisors, whose sum is σ = 3322156032000. Its totient is φ = 198832803840.

The previous prime is 882133386041. The next prime is 882133386131. The reversal of 882133386120 is 21683331288.

882133386120 is a `hidden beast` number, since 8 + 8 + 21 + 3 + 3 + 3 + 8 + 612 + 0 = 666.

882133386120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87239865 + ... + 87249975.

It is an arithmetic number, because the mean of its divisors is an integer number (8651448000).

Almost surely, 2^882133386120 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 882133386120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661078016000).

882133386120 is an abundant number, since it is smaller than the sum of its proper divisors (2440022645880).

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

882133386120 is a wasteful number, since it uses less digits than its factorization.

882133386120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 882133386120 in words is "eight hundred eighty-two billion, one hundred thirty-three million, three hundred eighty-six thousand, one hundred twenty".