83404339200 has 2160 divisors, whose sum is σ = 404775811440. Its totient is φ = 16562257920.

The previous prime is 83404339141. The next prime is 83404339201. The reversal of 83404339200 is 293340438.

It is a happy number.

83404339200 is a `hidden beast` number, since 83 + 40 + 4 + 339 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83404339201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4906137592 + ... + 4906137608.

It is an arithmetic number, because the mean of its divisors is an integer number (187396209).

Almost surely, 2^83404339200 is an apocalyptic number.

83404339200 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 83404339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202387905720).

83404339200 is an abundant number, since it is smaller than the sum of its proper divisors (321371472240).

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

83404339200 is a wasteful number, since it uses less digits than its factorization.

83404339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 83404339200 its reverse (293340438), we get a palindrome (83697679638).

The spelling of 83404339200 in words is "eighty-three billion, four hundred four million, three hundred thirty-nine thousand, two hundred".