882534415680 has 224 divisors, whose sum is σ = 3115653408000. Its totient is φ = 235171067904.

The previous prime is 882534415663. The next prime is 882534415709. The reversal of 882534415680 is 86514435288.

882534415680 is a `hidden beast` number, since 8 + 8 + 2 + 5 + 34 + 41 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 12050854 + ... + 12123866.

It is an arithmetic number, because the mean of its divisors is an integer number (13909167000).

Almost surely, 2^882534415680 is an apocalyptic number.

882534415680 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 882534415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557826704000).

882534415680 is an abundant number, since it is smaller than the sum of its proper divisors (2233118992320).

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

882534415680 is a wasteful number, since it uses less digits than its factorization.

882534415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74438 (or 74422 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 882534415680 in words is "eight hundred eighty-two billion, five hundred thirty-four million, four hundred fifteen thousand, six hundred eighty".