81892629396 has 120 divisors (see below), whose sum is σ = 220055038280. Its totient is φ = 26537372928.

The previous prime is 81892629389. The next prime is 81892629419. The reversal of 81892629396 is 69392629818.

81892629396 is a `hidden beast` number, since 8 + 189 + 2 + 62 + 9 + 396 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25652506896 + 56240122500 = 160164^2 + 237150^2 .

It is a congruent number.

It is an unprimeable number.

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, 20005926 + ... + 20010018.

Almost surely, 2^81892629396 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 81892629396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110027519140).

81892629396 is an abundant number, since it is smaller than the sum of its proper divisors (138162408884).

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

81892629396 is a wasteful number, since it uses less digits than its factorization.

81892629396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5804 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 81892629396 in words is "eighty-one billion, eight hundred ninety-two million, six hundred twenty-nine thousand, three hundred ninety-six".