82014870712320 has 6656 divisors, whose sum is σ = 401597521920000. Its totient is φ = 15731596984320.

The previous prime is 82014870712319. The next prime is 82014870712321. The reversal of 82014870712320 is 2321707841028.

82014870712320 is a `hidden beast` number, since 8 + 20 + 1 + 487 + 0 + 7 + 123 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (82014870712319) and next prime (82014870712321).

It is a tau number, because it is divible by the number of its divisors (6656).

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 (82014870712321) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2216618127342 + ... + 2216618127378.

Almost surely, 2^{82014870712320} is an apocalyptic number.

82014870712320 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 82014870712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200798760960000).

82014870712320 is an abundant number, since it is smaller than the sum of its proper divisors (319582651207680).

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

82014870712320 is a wasteful number, since it uses less digits than its factorization.

82014870712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 82014870712320 in words is "eighty-two trillion, fourteen billion, eight hundred seventy million, seven hundred twelve thousand, three hundred twenty".