882750960000 has 1920 divisors, whose sum is σ = 4059575520000. Its totient is φ = 185877504000.

The previous prime is 882750959947. The next prime is 882750960041. The reversal of 882750960000 is 69057288.

882750960000 is a `hidden beast` number, since 8 + 82 + 7 + 509 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1769039751 + ... + 1769040249.

It is an arithmetic number, because the mean of its divisors is an integer number (2114362250).

Almost surely, 2^882750960000 is an apocalyptic number.

882750960000 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 882750960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029787760000).

882750960000 is an abundant number, since it is smaller than the sum of its proper divisors (3176824560000).

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

882750960000 is an equidigital number, since it uses as much as digits as its factorization.

882750960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 882750960000 in words is "eight hundred eighty-two billion, seven hundred fifty million, nine hundred sixty thousand".