82200058395840 has 1008 divisors, whose sum is σ = 359949897425664. Its totient is φ = 17025510297600.

The previous prime is 82200058395827. The next prime is 82200058395863. The reversal of 82200058395840 is 4859385000228.

It is a happy number.

82200058395840 is a `hidden beast` number, since 8 + 2 + 2 + 0 + 0 + 0 + 58 + 3 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 482686387 + ... + 482856653.

It is an arithmetic number, because the mean of its divisors is an integer number (357093152208).

Almost surely, 2^{82200058395840} is an apocalyptic number.

82200058395840 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 82200058395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179974948712832).

82200058395840 is an abundant number, since it is smaller than the sum of its proper divisors (277749839029824).

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

82200058395840 is a wasteful number, since it uses less digits than its factorization.

82200058395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170626 (or 170606 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 82200058395840 in words is "eighty-two trillion, two hundred billion, fifty-eight million, three hundred ninety-five thousand, eight hundred forty".