84235198320 has 600 divisors, whose sum is σ = 366523353504. Its totient is φ = 17771830272.

The previous prime is 84235198303. The next prime is 84235198349. The reversal of 84235198320 is 2389153248.

84235198320 is a `hidden beast` number, since 8 + 4 + 235 + 1 + 98 + 320 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4117557 + ... + 4137963.

Almost surely, 2^84235198320 is an apocalyptic number.

84235198320 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 84235198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183261676752).

84235198320 is an abundant number, since it is smaller than the sum of its proper divisors (282288155184).

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

84235198320 is a wasteful number, since it uses less digits than its factorization.

84235198320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20459 (or 20437 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 84235198320 in words is "eighty-four billion, two hundred thirty-five million, one hundred ninety-eight thousand, three hundred twenty".