84141509690880 has 960 divisors, whose sum is σ = 305771629363200. Its totient is φ = 21360993239040.

The previous prime is 84141509690869. The next prime is 84141509691011. The reversal of 84141509690880 is 8809690514148.

84141509690880 is a `hidden beast` number, since 8 + 4 + 1 + 41 + 509 + 6 + 9 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15938908081 + ... + 15938913359.

It is an arithmetic number, because the mean of its divisors is an integer number (318512113920).

Almost surely, 2^{84141509690880} is an apocalyptic number.

84141509690880 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 84141509690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152885814681600).

84141509690880 is an abundant number, since it is smaller than the sum of its proper divisors (221630119672320).

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

84141509690880 is a wasteful number, since it uses less digits than its factorization.

84141509690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 84141509690880 in words is "eighty-four trillion, one hundred forty-one billion, five hundred nine million, six hundred ninety thousand, eight hundred eighty".