83204496000 has 1280 divisors, whose sum is σ = 338861952000. Its totient is φ = 20155392000.

The previous prime is 83204495999. The next prime is 83204496013. The reversal of 83204496000 is 69440238.

It is a happy number.

83204496000 is a `hidden beast` number, since 8 + 3 + 2 + 0 + 4 + 49 + 600 + 0 = 666.

It is a super-2 number, since 2×83204496000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 763343946 + ... + 763344054.

It is an arithmetic number, because the mean of its divisors is an integer number (264735900).

Almost surely, 2^83204496000 is an apocalyptic number.

83204496000 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 83204496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169430976000).

83204496000 is an abundant number, since it is smaller than the sum of its proper divisors (255657456000).

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

83204496000 is a wasteful number, since it uses less digits than its factorization.

83204496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 83204496000 in words is "eighty-three billion, two hundred four million, four hundred ninety-six thousand".