82289675520000 has 2880 divisors, whose sum is σ = 339519971831040. Its totient is φ = 19779158016000.

The previous prime is 82289675519971. The next prime is 82289675520023. The reversal of 82289675520000 is 2557698228.

It is a happy number.

82289675520000 is a `hidden beast` number, since 8 + 2 + 2 + 89 + 6 + 7 + 552 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 190045439784 + ... + 190045440216.

It is an arithmetic number, because the mean of its divisors is an integer number (117888879108).

Almost surely, 2^{82289675520000} is an apocalyptic number.

82289675520000 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 82289675520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169759985915520).

82289675520000 is an abundant number, since it is smaller than the sum of its proper divisors (257230296311040).

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

82289675520000 is an equidigital number, since it uses as much as digits as its factorization.

82289675520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 82289675520000 in words is "eighty-two trillion, two hundred eighty-nine billion, six hundred seventy-five million, five hundred twenty thousand".