82564425360 has 320 divisors, whose sum is σ = 298552320000. Its totient is φ = 20944811520.

The previous prime is 82564425353. The next prime is 82564425403. The reversal of 82564425360 is 6352446528.

82564425360 is a `hidden beast` number, since 8 + 2 + 564 + 4 + 25 + 3 + 60 = 666.

It is a super-2 number, since 2×82564425360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3940191 + ... + 3961089.

It is an arithmetic number, because the mean of its divisors is an integer number (932976000).

Almost surely, 2^82564425360 is an apocalyptic number.

82564425360 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 82564425360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160000).

82564425360 is an abundant number, since it is smaller than the sum of its proper divisors (215987894640).

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

82564425360 is a wasteful number, since it uses less digits than its factorization.

82564425360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21011 (or 20999 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 82564425360 in words is "eighty-two billion, five hundred sixty-four million, four hundred twenty-five thousand, three hundred sixty".