83248320800 has 90 divisors (see below), whose sum is σ = 205262262765. Its totient is φ = 32969632000.

The previous prime is 83248320787. The next prime is 83248320839. The reversal of 83248320800 is 802384238.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 61200822544 + 22047498256 = 247388^2 + 148484^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=204020.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 824240750 + ... + 824240850.

Almost surely, 2^83248320800 is an apocalyptic number.

83248320800 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 83248320800

83248320800 is an abundant number, since it is smaller than the sum of its proper divisors (122013941965).

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

83248320800 is an frugal number, since it uses more digits than its factorization.

83248320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 83248320800 in words is "eighty-three billion, two hundred forty-eight million, three hundred twenty thousand, eight hundred".