813573280000 has 360 divisors, whose sum is σ = 2198502922616. Its totient is φ = 298598400000.

The previous prime is 813573279983. The next prime is 813573280019. The reversal of 813573280000 is 82375318.

It can be written as a sum of positive squares in 20 ways, for example, as 711337054464 + 102236225536 = 843408^2 + 319744^2 .

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 39 ways as a sum of consecutive naturals, for example, 376478920 + ... + 376481080.

Almost surely, 2^813573280000 is an apocalyptic number.

813573280000 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 813573280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099251461308).

813573280000 is an abundant number, since it is smaller than the sum of its proper divisors (1384929642616).

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

813573280000 is a wasteful number, since it uses less digits than its factorization.

813573280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 813573280000 in words is "eight hundred thirteen billion, five hundred seventy-three million, two hundred eighty thousand".