803856148480 has 288 divisors, whose sum is σ = 2447675586720. Its totient is φ = 250550845440.

The previous prime is 803856148477. The next prime is 803856148541. The reversal of 803856148480 is 84841658308.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5446539 + ... + 5592181.

It is an arithmetic number, because the mean of its divisors is an integer number (8498873565).

Almost surely, 2^803856148480 is an apocalyptic number.

803856148480 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 803856148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223837793360).

803856148480 is an abundant number, since it is smaller than the sum of its proper divisors (1643819438240).

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

803856148480 is a wasteful number, since it uses less digits than its factorization.

803856148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145695 (or 145668 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 55.

The spelling of 803856148480 in words is "eight hundred three billion, eight hundred fifty-six million, one hundred forty-eight thousand, four hundred eighty".