82265200992 has 192 divisors, whose sum is σ = 258628930560. Its totient is φ = 25289667072.

The previous prime is 82265200957. The next prime is 82265200993. The reversal of 82265200992 is 29900256228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82265200993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15980563 + ... + 15985709.

It is an arithmetic number, because the mean of its divisors is an integer number (1347025680).

Almost surely, 2^82265200992 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 82265200992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129314465280).

82265200992 is an abundant number, since it is smaller than the sum of its proper divisors (176363729568).

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

82265200992 is a wasteful number, since it uses less digits than its factorization.

82265200992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 82265200992 in words is "eighty-two billion, two hundred sixty-five million, two hundred thousand, nine hundred ninety-two".