82683947520 has 480 divisors, whose sum is σ = 300342062592. Its totient is φ = 20982398976.

The previous prime is 82683947491. The next prime is 82683947531. The reversal of 82683947520 is 2574938628.

82683947520 is a `hidden beast` number, since 8 + 26 + 8 + 3 + 94 + 7 + 520 = 666.

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

It is a super-2 number, since 2×82683947520² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178582809 + ... + 178583271.

Almost surely, 2^82683947520 is an apocalyptic number.

82683947520 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 82683947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150171031296).

82683947520 is an abundant number, since it is smaller than the sum of its proper divisors (217658115072).

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

82683947520 is a wasteful number, since it uses less digits than its factorization.

82683947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 82683947520 in words is "eighty-two billion, six hundred eighty-three million, nine hundred forty-seven thousand, five hundred twenty".