82446556320 has 288 divisors, whose sum is σ = 292195874880. Its totient is φ = 21953617920.

The previous prime is 82446556319. The next prime is 82446556321. The reversal of 82446556320 is 2365564428.

82446556320 is a `hidden beast` number, since 8 + 2 + 4 + 4 + 6 + 5 + 5 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82446556319) and next prime (82446556321).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (82446556321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39617680 + ... + 39619760.

It is an arithmetic number, because the mean of its divisors is an integer number (1014569010).

Almost surely, 2^82446556320 is an apocalyptic number.

82446556320 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 82446556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146097937440).

82446556320 is an abundant number, since it is smaller than the sum of its proper divisors (209749318560).

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

82446556320 is a wasteful number, since it uses less digits than its factorization.

82446556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3110 counting only the distinct ones).

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

The spelling of 82446556320 in words is "eighty-two billion, four hundred forty-six million, five hundred fifty-six thousand, three hundred twenty".