82522964160 has 448 divisors, whose sum is σ = 358308249600. Its totient is φ = 17411272704.

The previous prime is 82522964141. The next prime is 82522964189. The reversal of 82522964160 is 6146922528.

82522964160 is a `hidden beast` number, since 8 + 2 + 5 + 229 + 6 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×82522964160² (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, 733761 + ... + 838719.

It is an arithmetic number, because the mean of its divisors is an integer number (799795200).

Almost surely, 2^82522964160 is an apocalyptic number.

82522964160 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 82522964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179154124800).

82522964160 is an abundant number, since it is smaller than the sum of its proper divisors (275785285440).

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

82522964160 is a wasteful number, since it uses less digits than its factorization.

82522964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105005 (or 104989 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 82522964160 in words is "eighty-two billion, five hundred twenty-two million, nine hundred sixty-four thousand, one hundred sixty".