83812216320 has 960 divisors, whose sum is σ = 362481799680. Its totient is φ = 18130894848.

The previous prime is 83812216289. The next prime is 83812216331. The reversal of 83812216320 is 2361221838.

83812216320 is a `hidden beast` number, since 8 + 3 + 8 + 12 + 2 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82736134 + ... + 82737146.

It is an arithmetic number, because the mean of its divisors is an integer number (377585208).

Almost surely, 2^83812216320 is an apocalyptic number.

83812216320 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 83812216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181240899840).

83812216320 is an abundant number, since it is smaller than the sum of its proper divisors (278669583360).

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

83812216320 is a wasteful number, since it uses less digits than its factorization.

83812216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 83812216320 in words is "eighty-three billion, eight hundred twelve million, two hundred sixteen thousand, three hundred twenty".