82250328960 has 448 divisors, whose sum is σ = 305025696000. Its totient is φ = 21173612544.

The previous prime is 82250328929. The next prime is 82250328971. The reversal of 82250328960 is 6982305228.

It is a happy number.

82250328960 is a `hidden beast` number, since 8 + 2 + 2 + 503 + 2 + 89 + 60 = 666.

It is a super-2 number, since 2×82250328960² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13527201 + ... + 13533279.

Almost surely, 2^82250328960 is an apocalyptic number.

82250328960 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 82250328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152512848000).

82250328960 is an abundant number, since it is smaller than the sum of its proper divisors (222775367040).

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

82250328960 is an equidigital number, since it uses as much as digits as its factorization.

82250328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145 (or 6118 counting only the distinct ones).

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

The spelling of 82250328960 in words is "eighty-two billion, two hundred fifty million, three hundred twenty-eight thousand, nine hundred sixty".