84526364160 has 1440 divisors, whose sum is σ = 366771525120. Its totient is φ = 18588745728.

The previous prime is 84526364159. The next prime is 84526364189. The reversal of 84526364160 is 6146362548.

84526364160 is a `hidden beast` number, since 8 + 4 + 5 + 2 + 636 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1432650211 + ... + 1432650269.

It is an arithmetic number, because the mean of its divisors is an integer number (254702448).

Almost surely, 2^84526364160 is an apocalyptic number.

84526364160 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 84526364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183385762560).

84526364160 is an abundant number, since it is smaller than the sum of its proper divisors (282245160960).

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

84526364160 is an equidigital number, since it uses as much as digits as its factorization.

84526364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 84526364160 in words is "eighty-four billion, five hundred twenty-six million, three hundred sixty-four thousand, one hundred sixty".