882895749120 has 1344 divisors, whose sum is σ = 3962105441280. Its totient is φ = 183458856960.

The previous prime is 882895749089. The next prime is 882895749157. The reversal of 882895749120 is 21947598288.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80263249915 + ... + 80263249925.

It is an arithmetic number, because the mean of its divisors is an integer number (2947995120).

Almost surely, 2^882895749120 is an apocalyptic number.

882895749120 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 882895749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981052720640).

882895749120 is an abundant number, since it is smaller than the sum of its proper divisors (3079209692160).

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

882895749120 is an frugal number, since it uses more digits than its factorization.

882895749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 882895749120 in words is "eight hundred eighty-two billion, eight hundred ninety-five million, seven hundred forty-nine thousand, one hundred twenty".