84305806940160 has 3456 divisors, whose sum is σ = 351946686873600. Its totient is φ = 19303311605760.

The previous prime is 84305806940141. The next prime is 84305806940161. The reversal of 84305806940160 is 6104960850348.

84305806940160 is a `hidden beast` number, since 8 + 4 + 3 + 0 + 580 + 6 + 9 + 40 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84305806940097 and 84305806940106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84305806940161) 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, 378052945809 + ... + 378052946031.

It is an arithmetic number, because the mean of its divisors is an integer number (101836425600).

Almost surely, 2^{84305806940160} is an apocalyptic number.

84305806940160 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 84305806940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175973343436800).

84305806940160 is an abundant number, since it is smaller than the sum of its proper divisors (267640879933440).

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

84305806940160 is a wasteful number, since it uses less digits than its factorization.

84305806940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

It can be divided in two parts, 8430580 and 6940160, that added together give a triangular number (15370740 = T₅₅₄₄).

The spelling of 84305806940160 in words is "eighty-four trillion, three hundred five billion, eight hundred six million, nine hundred forty thousand, one hundred sixty".