82652890320 has 1920 divisors, whose sum is σ = 401254318080. Its totient is φ = 15362887680.

The previous prime is 82652890319. The next prime is 82652890381. The reversal of 82652890320 is 2309825628.

It is a happy number.

82652890320 is a `hidden beast` number, since 8 + 2 + 6 + 528 + 90 + 32 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 650810097 + ... + 650810223.

It is an arithmetic number, because the mean of its divisors is an integer number (208986624).

Almost surely, 2^82652890320 is an apocalyptic number.

82652890320 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 82652890320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200627159040).

82652890320 is an abundant number, since it is smaller than the sum of its proper divisors (318601427760).

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

82652890320 is a wasteful number, since it uses less digits than its factorization.

82652890320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

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

The spelling of 82652890320 in words is "eighty-two billion, six hundred fifty-two million, eight hundred ninety thousand, three hundred twenty".