82052905200 has 240 divisors, whose sum is σ = 304509010176. Its totient is φ = 18497894400.

The previous prime is 82052905189. The next prime is 82052905201. The reversal of 82052905200 is 250925028.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82052905201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 546295 + ... + 680105.

Almost surely, 2^82052905200 is an apocalyptic number.

82052905200 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 82052905200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152254505088).

82052905200 is an abundant number, since it is smaller than the sum of its proper divisors (222456104976).

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

82052905200 is a wasteful number, since it uses less digits than its factorization.

82052905200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133912 (or 133901 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 82052905200 in words is "eighty-two billion, fifty-two million, nine hundred five thousand, two hundred".