83382424000 has 112 divisors (see below), whose sum is σ = 213617738880. Its totient is φ = 32202777600.

The previous prime is 83382423979. The next prime is 83382424001. The reversal of 83382424000 is 42428338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83382424001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52297 + ... + 411703.

It is an arithmetic number, because the mean of its divisors is an integer number (1907301240).

Almost surely, 2^83382424000 is an apocalyptic number.

83382424000 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 83382424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106808869440).

83382424000 is an abundant number, since it is smaller than the sum of its proper divisors (130235314880).

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

83382424000 is a wasteful number, since it uses less digits than its factorization.

83382424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359463 (or 359443 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 83382424000 in words is "eighty-three billion, three hundred eighty-two million, four hundred twenty-four thousand".