82500453139200 has 216 divisors, whose sum is σ = 272277363758400. Its totient is φ = 21999419412480.

The previous prime is 82500453139199. The next prime is 82500453139217. The reversal of 82500453139200 is 293135400528.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 933440611 + ... + 933528989.

Almost surely, 2^{82500453139200} is an apocalyptic number.

82500453139200 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 82500453139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136138681879200).

82500453139200 is an abundant number, since it is smaller than the sum of its proper divisors (189776910619200).

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

82500453139200 is a wasteful number, since it uses less digits than its factorization.

82500453139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137027 (or 137008 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 82500453139200 its reverse (293135400528), we get a palindrome (82793588539728).

The spelling of 82500453139200 in words is "eighty-two trillion, five hundred billion, four hundred fifty-three million, one hundred thirty-nine thousand, two hundred".