84966589543680 has 2880 divisors, whose sum is σ = 356422929730560. Its totient is φ = 19139345252352.

The previous prime is 84966589543669. The next prime is 84966589543681. The reversal of 84966589543680 is 8634598566948.

84966589543680 is a `hidden beast` number, since 8 + 4 + 9 + 6 + 6 + 5 + 8 + 9 + 543 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×84966589543680³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 84966589543680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84966589543681) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 132140885439 + ... + 132140886081.

It is an arithmetic number, because the mean of its divisors is an integer number (123757961712).

Almost surely, 2^{84966589543680} is an apocalyptic number.

84966589543680 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 84966589543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178211464865280).

84966589543680 is an abundant number, since it is smaller than the sum of its proper divisors (271456340186880).

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

84966589543680 is a wasteful number, since it uses less digits than its factorization.

84966589543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 10749542400, while the sum is 81.

The spelling of 84966589543680 in words is "eighty-four trillion, nine hundred sixty-six billion, five hundred eighty-nine million, five hundred forty-three thousand, six hundred eighty".