82364431675520 has 128 divisors (see below), whose sum is σ = 202231427373360. Its totient is φ = 32054194077696.

The previous prime is 82364431675511. The next prime is 82364431675523. The reversal of 82364431675520 is 2557613446328.

It can be written as a sum of positive squares in 8 ways, for example, as 65364379110976 + 17000052564544 = 8084824^2 + 4123112^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (82364431675523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989237732 + ... + 989320988.

Almost surely, 2^{82364431675520} is an apocalyptic number.

82364431675520 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 82364431675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101115713686680).

82364431675520 is an abundant number, since it is smaller than the sum of its proper divisors (119866995697840).

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

82364431675520 is a wasteful number, since it uses less digits than its factorization.

82364431675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125090 (or 125078 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 56.

The spelling of 82364431675520 in words is "eighty-two trillion, three hundred sixty-four billion, four hundred thirty-one million, six hundred seventy-five thousand, five hundred twenty".