882830015812080 has 3840 divisors, whose sum is σ = 3910170533068800. Its totient is φ = 180483204464640.

The previous prime is 882830015812021. The next prime is 882830015812081. The reversal of 882830015812080 is 80218510038288.

882830015812080 is a `hidden beast` number, since 8 + 8 + 2 + 8 + 30 + 0 + 1 + 581 + 20 + 8 + 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 not an unprimeable number, because it can be changed into a prime (882830015812081) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2096983410270 + ... + 2096983410690.

It is an arithmetic number, because the mean of its divisors is an integer number (1018273576320).

Almost surely, 2^{882830015812080} is an apocalyptic number.

882830015812080 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 882830015812080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955085266534400).

882830015812080 is an abundant number, since it is smaller than the sum of its proper divisors (3027340517256720).

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

882830015812080 is a wasteful number, since it uses less digits than its factorization.

882830015812080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 882830015812080 in words is "eight hundred eighty-two trillion, eight hundred thirty billion, fifteen million, eight hundred twelve thousand, eighty".