82368893520 has 360 divisors, whose sum is σ = 299779848576. Its totient is φ = 21006957312.

The previous prime is 82368893513. The next prime is 82368893611. The reversal of 82368893520 is 2539886328.

82368893520 is a `hidden beast` number, since 8 + 2 + 36 + 8 + 89 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12068829 + ... + 12075651.

Almost surely, 2^82368893520 is an apocalyptic number.

82368893520 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 82368893520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149889924288).

82368893520 is an abundant number, since it is smaller than the sum of its proper divisors (217410955056).

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

82368893520 is an equidigital number, since it uses as much as digits as its factorization.

82368893520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 82368893520 in words is "eighty-two billion, three hundred sixty-eight million, eight hundred ninety-three thousand, five hundred twenty".