803234932531200 has 5376 divisors, whose sum is σ = 3521027439820800. Its totient is φ = 177725767680000.

The previous prime is 803234932531121. The next prime is 803234932531211. The reversal of 803234932531200 is 2135239432308.

803234932531200 is a `hidden beast` number, since 8 + 0 + 3 + 2 + 3 + 4 + 9 + 325 + 312 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2582748979045 + ... + 2582748979355.

It is an arithmetic number, because the mean of its divisors is an integer number (654953020800).

Almost surely, 2^{803234932531200} is an apocalyptic number.

803234932531200 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 803234932531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760513719910400).

803234932531200 is an abundant number, since it is smaller than the sum of its proper divisors (2717792507289600).

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

803234932531200 is a wasteful number, since it uses less digits than its factorization.

803234932531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 803234932531200 in words is "eight hundred three trillion, two hundred thirty-four billion, nine hundred thirty-two million, five hundred thirty-one thousand, two hundred".