82336655520 has 480 divisors, whose sum is σ = 333130710528. Its totient is φ = 18760937472.

The previous prime is 82336655473. The next prime is 82336655521. The reversal of 82336655520 is 2555663328.

82336655520 is a `hidden beast` number, since 8 + 2 + 3 + 36 + 65 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (82336655521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33293004 + ... + 33295476.

Almost surely, 2^82336655520 is an apocalyptic number.

82336655520 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 82336655520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166565355264).

82336655520 is an abundant number, since it is smaller than the sum of its proper divisors (250794055008).

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

82336655520 is a wasteful number, since it uses less digits than its factorization.

82336655520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 82336655520 in words is "eighty-two billion, three hundred thirty-six million, six hundred fifty-five thousand, five hundred twenty".