83232352800 has 216 divisors, whose sum is σ = 298311102180. Its totient is φ = 21831321600.

The previous prime is 83232352787. The next prime is 83232352829. The reversal of 83232352800 is 825323238.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 143137296 + 83089215504 = 11964^2 + 288252^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344446 + ... + 533954.

Almost surely, 2^83232352800 is an apocalyptic number.

83232352800 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 83232352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149155551090).

83232352800 is an abundant number, since it is smaller than the sum of its proper divisors (215078749380).

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

83232352800 is a wasteful number, since it uses less digits than its factorization.

83232352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189596 (or 189580 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 83232 and 352800, that multiplied together give a square (29364249600 = 171360²).

The spelling of 83232352800 in words is "eighty-three billion, two hundred thirty-two million, three hundred fifty-two thousand, eight hundred".