82449055180800 has 6912 divisors, whose sum is σ = 426121826457600. Its totient is φ = 15368926003200.

The previous prime is 82449055180759. The next prime is 82449055180831. The reversal of 82449055180800 is 808155094428.

82449055180800 is a `hidden beast` number, since 8 + 2 + 4 + 4 + 9 + 0 + 551 + 8 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 291339417459 + ... + 291339417741.

It is an arithmetic number, because the mean of its divisors is an integer number (61649569800).

Almost surely, 2^{82449055180800} is an apocalyptic number.

82449055180800 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 82449055180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213060913228800).

82449055180800 is an abundant number, since it is smaller than the sum of its proper divisors (343672771276800).

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

82449055180800 is a wasteful number, since it uses less digits than its factorization.

82449055180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 82449055180800 in words is "eighty-two trillion, four hundred forty-nine billion, fifty-five million, one hundred eighty thousand, eight hundred".