84532581342720 has 720 divisors, whose sum is σ = 340833901327920. Its totient is φ = 19306061365248.

The previous prime is 84532581342719. The next prime is 84532581342743. The reversal of 84532581342720 is 2724318523548.

84532581342720 is a `hidden beast` number, since 8 + 4 + 5 + 3 + 2 + 581 + 34 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1421330904 + ... + 1421390376.

It is an arithmetic number, because the mean of its divisors is an integer number (473380418511).

Almost surely, 2^{84532581342720} is an apocalyptic number.

84532581342720 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 84532581342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170416950663960).

84532581342720 is an abundant number, since it is smaller than the sum of its proper divisors (256301319985200).

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

84532581342720 is a wasteful number, since it uses less digits than its factorization.

84532581342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60775 (or 60749 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 84532581342720 in words is "eighty-four trillion, five hundred thirty-two billion, five hundred eighty-one million, three hundred forty-two thousand, seven hundred twenty".