882613771272 has 160 divisors (see below), whose sum is σ = 2519782214400. Its totient is φ = 288538713216.

The previous prime is 882613771253. The next prime is 882613771279. The reversal of 882613771272 is 272177316288.

882613771272 is a `hidden beast` number, since 8 + 8 + 2 + 613 + 7 + 7 + 12 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (882613771279) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152724879 + ... + 152730657.

It is an arithmetic number, because the mean of its divisors is an integer number (15748638840).

Almost surely, 2^882613771272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882613771272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259891107200).

882613771272 is an abundant number, since it is smaller than the sum of its proper divisors (1637168443128).

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

882613771272 is a wasteful number, since it uses less digits than its factorization.

882613771272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10297 (or 10284 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 882613771272 in words is "eight hundred eighty-two billion, six hundred thirteen million, seven hundred seventy-one thousand, two hundred seventy-two".