82315303150080 has 6400 divisors, whose sum is σ = 399285004124160. Its totient is φ = 14202136166400.

The previous prime is 82315303150051. The next prime is 82315303150081. The reversal of 82315303150080 is 8005130351328.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (82315303150081) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1553118927334 + ... + 1553118927386.

Almost surely, 2^{82315303150080} is an apocalyptic number.

82315303150080 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 82315303150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199642502062080).

82315303150080 is an abundant number, since it is smaller than the sum of its proper divisors (316969700974080).

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

82315303150080 is a wasteful number, since it uses less digits than its factorization.

82315303150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 82315303150080 in words is "eighty-two trillion, three hundred fifteen billion, three hundred three million, one hundred fifty thousand, eighty".