82172888827128 has 96 divisors (see below), whose sum is σ = 246203021750400. Its totient is φ = 24550158830400.

The previous prime is 82172888827123. The next prime is 82172888827151.

82172888827128 is a `hidden beast` number, since 8 + 217 + 288 + 8 + 8 + 2 + 7 + 128 = 666.

82172888827128 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82172888827123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730603258 + ... + 730715721.

It is an arithmetic number, because the mean of its divisors is an integer number (2564614809900).

Almost surely, 2^{82172888827128} is an apocalyptic number.

82172888827128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82172888827128 is an abundant number, since it is smaller than the sum of its proper divisors (164030132923272).

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

82172888827128 is a wasteful number, since it uses less digits than its factorization.

82172888827128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461319073 (or 1461319066 counting only the distinct ones).

The product of its digits is 205520896, while the sum is 72.

The spelling of 82172888827128 in words is "eighty-two trillion, one hundred seventy-two billion, eight hundred eighty-eight million, eight hundred twenty-seven thousand, one hundred twenty-eight".