82030239360 has 384 divisors, whose sum is σ = 289423368000. Its totient is φ = 21402501120.

The previous prime is 82030239359. The next prime is 82030239367. The reversal of 82030239360 is 6393203028.

82030239360 is a `hidden beast` number, since 8 + 203 + 0 + 2 + 393 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (82030239367) 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, 95494611 + ... + 95495469.

Almost surely, 2^82030239360 is an apocalyptic number.

82030239360 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 82030239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144711684000).

82030239360 is an abundant number, since it is smaller than the sum of its proper divisors (207393128640).

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

82030239360 is a wasteful number, since it uses less digits than its factorization.

82030239360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 82030239360 in words is "eighty-two billion, thirty million, two hundred thirty-nine thousand, three hundred sixty".