82269815644896 has 576 divisors, whose sum is σ = 254003263637760. Its totient is φ = 23215586099200.

The previous prime is 82269815644889. The next prime is 82269815644903. The reversal of 82269815644896 is 69844651896228.

It is an interprime number because it is at equal distance from previous prime (82269815644889) and next prime (82269815644903).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21530962666 + ... + 21530966486.

It is an arithmetic number, because the mean of its divisors is an integer number (440977888260).

Almost surely, 2^{82269815644896} 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 82269815644896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127001631818880).

82269815644896 is an abundant number, since it is smaller than the sum of its proper divisors (171733447992864).

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

82269815644896 is a wasteful number, since it uses less digits than its factorization.

82269815644896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4980 counting only the distinct ones).

The product of its digits is 2866544640, while the sum is 78.

The spelling of 82269815644896 in words is "eighty-two trillion, two hundred sixty-nine billion, eight hundred fifteen million, six hundred forty-four thousand, eight hundred ninety-six".