84596942160 has 960 divisors, whose sum is σ = 330632409600. Its totient is φ = 19831578624.

The previous prime is 84596942153. The next prime is 84596942167. The reversal of 84596942160 is 6124969548.

84596942160 is a `hidden beast` number, since 8 + 4 + 596 + 9 + 42 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84596942153) and next prime (84596942167).

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 = 84596942097 and 84596942106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84596942167) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 950527396 + ... + 950527484.

It is an arithmetic number, because the mean of its divisors is an integer number (344408760).

Almost surely, 2^84596942160 is an apocalyptic number.

84596942160 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 84596942160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165316204800).

84596942160 is an abundant number, since it is smaller than the sum of its proper divisors (246035467440).

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

84596942160 is a wasteful number, since it uses less digits than its factorization.

84596942160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 84596942160 in words is "eighty-four billion, five hundred ninety-six million, nine hundred forty-two thousand, one hundred sixty".