82361608532280 has 1440 divisors, whose sum is σ = 355055588561520. Its totient is φ = 17061078988800.

The previous prime is 82361608532237. The next prime is 82361608532303. The reversal of 82361608532280 is 8223580616328.

It is a happy number.

82361608532280 is a `hidden beast` number, since 8 + 2 + 3 + 6 + 1 + 608 + 5 + 3 + 2 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6358490284 + ... + 6358503236.

Almost surely, 2^{82361608532280} 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 82361608532280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177527794280760).

82361608532280 is an abundant number, since it is smaller than the sum of its proper divisors (272693980029240).

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

82361608532280 is a wasteful number, since it uses less digits than its factorization.

82361608532280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13343 (or 13312 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 82361608532280 in words is "eighty-two trillion, three hundred sixty-one billion, six hundred eight million, five hundred thirty-two thousand, two hundred eighty".