88082686872 has 128 divisors (see below), whose sum is σ = 257942496000. Its totient is φ = 27773383680.

The previous prime is 88082686859. The next prime is 88082686903. The reversal of 88082686872 is 27868628088.

It is a super-2 number, since 2×88082686872² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2746047 + ... + 2777937.

It is an arithmetic number, because the mean of its divisors is an integer number (2015175750).

Almost surely, 2^88082686872 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 88082686872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128971248000).

88082686872 is an abundant number, since it is smaller than the sum of its proper divisors (169859809128).

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

88082686872 is a wasteful number, since it uses less digits than its factorization.

88082686872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32598 (or 32588 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 88082686872 in words is "eighty-eight billion, eighty-two million, six hundred eighty-six thousand, eight hundred seventy-two".