83808445440 has 704 divisors, whose sum is σ = 292485316608. Its totient is φ = 20437401600.

The previous prime is 83808445429. The next prime is 83808445459. The reversal of 83808445440 is 4454480838.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83808445440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1180400605 + ... + 1180400675.

Almost surely, 2^83808445440 is an apocalyptic number.

83808445440 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 83808445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146242658304).

83808445440 is an abundant number, since it is smaller than the sum of its proper divisors (208676871168).

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

83808445440 is a wasteful number, since it uses less digits than its factorization.

83808445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 83808445440 in words is "eighty-three billion, eight hundred eight million, four hundred forty-five thousand, four hundred forty".