83205408000 has 1728 divisors, whose sum is σ = 356234860800. Its totient is φ = 17031168000.

The previous prime is 83205407893. The next prime is 83205408023. The reversal of 83205408000 is 80450238.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2869151986 + ... + 2869152014.

Almost surely, 2^83205408000 is an apocalyptic number.

83205408000 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 83205408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178117430400).

83205408000 is an abundant number, since it is smaller than the sum of its proper divisors (273029452800).

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

83205408000 is a wasteful number, since it uses less digits than its factorization.

83205408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 83205408000 its reverse (80450238), we get a palindrome (83285858238).

The spelling of 83205408000 in words is "eighty-three billion, two hundred five million, four hundred eight thousand".