82292152320 has 432 divisors, whose sum is σ = 331792886880. Its totient is φ = 18808602624.

The previous prime is 82292152303. The next prime is 82292152343. The reversal of 82292152320 is 2325129228.

82292152320 is a `hidden beast` number, since 8 + 22 + 92 + 1 + 523 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4506729 + ... + 4524951.

It is an arithmetic number, because the mean of its divisors is an integer number (768039090).

Almost surely, 2^82292152320 is an apocalyptic number.

82292152320 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 82292152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165896443440).

82292152320 is an abundant number, since it is smaller than the sum of its proper divisors (249500734560).

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

82292152320 is a wasteful number, since it uses less digits than its factorization.

82292152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18270 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 82292152320 in words is "eighty-two billion, two hundred ninety-two million, one hundred fifty-two thousand, three hundred twenty".