83322254400 has 672 divisors, whose sum is σ = 346687810560. Its totient is φ = 17015808000.

The previous prime is 83322254369. The next prime is 83322254401. The reversal of 83322254400 is 445222338.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (83322254401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21804490 + ... + 21808310.

It is an arithmetic number, because the mean of its divisors is an integer number (515904480).

Almost surely, 2^83322254400 is an apocalyptic number.

83322254400 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 83322254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173343905280).

83322254400 is an abundant number, since it is smaller than the sum of its proper divisors (263365556160).

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

83322254400 is a wasteful number, since it uses less digits than its factorization.

83322254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 83322254400 its reverse (445222338), we get a palindrome (83767476738).

The spelling of 83322254400 in words is "eighty-three billion, three hundred twenty-two million, two hundred fifty-four thousand, four hundred".