82073027520 has 448 divisors, whose sum is σ = 320595955200. Its totient is φ = 19598008320.

The previous prime is 82073027507. The next prime is 82073027549. The reversal of 82073027520 is 2572037028.

It is a happy number.

82073027520 is a `hidden beast` number, since 82 + 0 + 7 + 30 + 27 + 520 = 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 63 ways as a sum of consecutive naturals, for example, 6361236 + ... + 6374124.

Almost surely, 2^82073027520 is an apocalyptic number.

82073027520 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 82073027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160297977600).

82073027520 is an abundant number, since it is smaller than the sum of its proper divisors (238522927680).

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

82073027520 is a wasteful number, since it uses less digits than its factorization.

82073027520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12993 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 82073027520 in words is "eighty-two billion, seventy-three million, twenty-seven thousand, five hundred twenty".