82514200320 has 216 divisors, whose sum is σ = 286992905472. Its totient is φ = 21888000000.

The previous prime is 82514200243. The next prime is 82514200333. The reversal of 82514200320 is 2300241528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2181570 + ... + 2219070.

Almost surely, 2^82514200320 is an apocalyptic number.

82514200320 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 82514200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143496452736).

82514200320 is an abundant number, since it is smaller than the sum of its proper divisors (204478705152).

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

82514200320 is a wasteful number, since it uses less digits than its factorization.

82514200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37719 (or 37702 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 82514200320 its reverse (2300241528), we get a palindrome (84814441848).

The spelling of 82514200320 in words is "eighty-two billion, five hundred fourteen million, two hundred thousand, three hundred twenty".