84565816320 has 352 divisors, whose sum is σ = 279553254912. Its totient is φ = 21806972928.

The previous prime is 84565816319. The next prime is 84565816327. The reversal of 84565816320 is 2361856548.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84565816320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84565816327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59427129 + ... + 59428551.

Almost surely, 2^84565816320 is an apocalyptic number.

84565816320 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 84565816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139776627456).

84565816320 is an abundant number, since it is smaller than the sum of its proper divisors (194987438592).

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

84565816320 is a wasteful number, since it uses less digits than its factorization.

84565816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 84565816320 in words is "eighty-four billion, five hundred sixty-five million, eight hundred sixteen thousand, three hundred twenty".