882137041920 has 528 divisors, whose sum is σ = 3096978812928. Its totient is φ = 232150302720.

The previous prime is 882137041889. The next prime is 882137041937. The reversal of 882137041920 is 29140731288.

It is a happy number.

882137041920 is a `hidden beast` number, since 8 + 82 + 137 + 0 + 419 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1796612875 + ... + 1796613365.

It is an arithmetic number, because the mean of its divisors is an integer number (5865490176).

Almost surely, 2^882137041920 is an apocalyptic number.

882137041920 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 882137041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548489406464).

882137041920 is an abundant number, since it is smaller than the sum of its proper divisors (2214841771008).

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

882137041920 is a wasteful number, since it uses less digits than its factorization.

882137041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 882137041920 in words is "eight hundred eighty-two billion, one hundred thirty-seven million, forty-one thousand, nine hundred twenty".