82014281395200 has 3168 divisors, whose sum is σ = 395433158515200. Its totient is φ = 16452108288000.

The previous prime is 82014281395181. The next prime is 82014281395201. The reversal of 82014281395200 is 259318241028.

82014281395200 is a `hidden beast` number, since 8 + 2 + 0 + 1 + 42 + 81 + 3 + 9 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82014281395201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10804143405 + ... + 10804150995.

Almost surely, 2^{82014281395200} is an apocalyptic number.

82014281395200 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 82014281395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197716579257600).

82014281395200 is an abundant number, since it is smaller than the sum of its proper divisors (313418877120000).

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

82014281395200 is a wasteful number, since it uses less digits than its factorization.

82014281395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7684 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 82014281395200 in words is "eighty-two trillion, fourteen billion, two hundred eighty-one million, three hundred ninety-five thousand, two hundred".