89682869094960 has 640 divisors, whose sum is σ = 287774581248000. Its totient is φ = 23097098752000.

The previous prime is 89682869094883. The next prime is 89682869094991. The reversal of 89682869094960 is 6949096828698.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59828464291 + ... + 59828465789.

It is an arithmetic number, because the mean of its divisors is an integer number (449647783200).

Almost surely, 2^{89682869094960} is an apocalyptic number.

89682869094960 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 89682869094960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143887290624000).

89682869094960 is an abundant number, since it is smaller than the sum of its proper divisors (198091712153040).

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

89682869094960 is a wasteful number, since it uses less digits than its factorization.

89682869094960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 5804752896, while the sum is 84.

The spelling of 89682869094960 in words is "eighty-nine trillion, six hundred eighty-two billion, eight hundred sixty-nine million, ninety-four thousand, nine hundred sixty".