83827200000 has 624 divisors, whose sum is σ = 291785699520. Its totient is φ = 21381120000.

The previous prime is 83827199993. The next prime is 83827200031. The reversal of 83827200000 is 272838.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1420799971 + ... + 1420800029.

Almost surely, 2^83827200000 is an apocalyptic number.

83827200000 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 83827200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145892849760).

83827200000 is an abundant number, since it is smaller than the sum of its proper divisors (207958499520).

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

83827200000 is an frugal number, since it uses more digits than its factorization.

83827200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 83827200000 its reverse (272838), we get a palindrome (83827472838).

The spelling of 83827200000 in words is "eighty-three billion, eight hundred twenty-seven million, two hundred thousand".