803155069728 has 384 divisors, whose sum is σ = 2631039667200. Its totient is φ = 239241703680.

The previous prime is 803155069723. The next prime is 803155069741. The reversal of 803155069728 is 827960551308.

803155069728 is a `hidden beast` number, since 8 + 0 + 3 + 1 + 550 + 69 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (803155069723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45410775 + ... + 45428457.

It is an arithmetic number, because the mean of its divisors is an integer number (6851665800).

Almost surely, 2^803155069728 is an apocalyptic number.

803155069728 is a gapful number since it is divisible by the number (88) 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 803155069728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315519833600).

803155069728 is an abundant number, since it is smaller than the sum of its proper divisors (1827884597472).

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

803155069728 is a wasteful number, since it uses less digits than its factorization.

803155069728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17784 (or 17758 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 803155069728 in words is "eight hundred three billion, one hundred fifty-five million, sixty-nine thousand, seven hundred twenty-eight".