813585427200 has 1728 divisors, whose sum is σ = 3792512819200. Its totient is φ = 166020710400.

The previous prime is 813585427177. The next prime is 813585427243. The reversal of 813585427200 is 2724585318.

813585427200 is a `hidden beast` number, since 8 + 1 + 3 + 585 + 42 + 7 + 20 + 0 = 666.

813585427200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 487467966 + ... + 487469634.

Almost surely, 2^813585427200 is an apocalyptic number.

813585427200 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 813585427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896256409600).

813585427200 is an abundant number, since it is smaller than the sum of its proper divisors (2978927392000).

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

813585427200 is a wasteful number, since it uses less digits than its factorization.

813585427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 813585427200 in words is "eight hundred thirteen billion, five hundred eighty-five million, four hundred twenty-seven thousand, two hundred".