882585942720 has 224 divisors, whose sum is σ = 2967959812608. Its totient is φ = 221443571712.

The previous prime is 882585942709. The next prime is 882585942731. The reversal of 882585942720 is 27249585288.

It is an interprime number because it is at equal distance from previous prime (882585942709) and next prime (882585942731).

It is a super-2 number, since 2×882585942720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72177247 + ... + 72189473.

It is an arithmetic number, because the mean of its divisors is an integer number (13249820592).

Almost surely, 2^882585942720 is an apocalyptic number.

882585942720 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 882585942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483979906304).

882585942720 is an abundant number, since it is smaller than the sum of its proper divisors (2085373869888).

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

882585942720 is a wasteful number, since it uses less digits than its factorization.

882585942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16687 (or 16677 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 882585942720 in words is "eight hundred eighty-two billion, five hundred eighty-five million, nine hundred forty-two thousand, seven hundred twenty".