83808449600 has 168 divisors, whose sum is σ = 218616507648. Its totient is φ = 31513190400.

The previous prime is 83808449587. The next prime is 83808449603. The reversal of 83808449600 is 694480838.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (83808449603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33481949 + ... + 33484451.

It is an arithmetic number, because the mean of its divisors is an integer number (1301288736).

Almost surely, 2^83808449600 is an apocalyptic number.

83808449600 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 83808449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109308253824).

83808449600 is an abundant number, since it is smaller than the sum of its proper divisors (134808058048).

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

83808449600 is a wasteful number, since it uses less digits than its factorization.

83808449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The spelling of 83808449600 in words is "eighty-three billion, eight hundred eight million, four hundred forty-nine thousand, six hundred".