82065953088 has 224 divisors, whose sum is σ = 276019077120. Its totient is φ = 23422348800.

The previous prime is 82065953087. The next prime is 82065953093. The reversal of 82065953088 is 88035956028.

82065953088 is a `hidden beast` number, since 8 + 20 + 6 + 5 + 9 + 530 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82065953087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13338813 + ... + 13344963.

Almost surely, 2^82065953088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82065953088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138009538560).

82065953088 is an abundant number, since it is smaller than the sum of its proper divisors (193953124032).

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

82065953088 is a wasteful number, since it uses less digits than its factorization.

82065953088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 82065953088 in words is "eighty-two billion, sixty-five million, nine hundred fifty-three thousand, eighty-eight".