88829968680 has 160 divisors (see below), whose sum is σ = 298788712200. Its totient is φ = 23670434304.

The previous prime is 88829968637. The next prime is 88829968687. The reversal of 88829968680 is 8686992888.

It can be written as a sum of positive squares in 4 ways, for example, as 86284362564 + 2545606116 = 293742^2 + 50454^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 88829968599 and 88829968608.

It is not an unprimeable number, because it can be changed into a prime (88829968687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4698286 + ... + 4717154.

Almost surely, 2^88829968680 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 88829968680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149394356100).

88829968680 is an abundant number, since it is smaller than the sum of its proper divisors (209958743520).

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

88829968680 is a wasteful number, since it uses less digits than its factorization.

88829968680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20345 (or 20332 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 88829968680 in words is "eighty-eight billion, eight hundred twenty-nine million, nine hundred sixty-eight thousand, six hundred eighty".