812482560000 has 1140 divisors, whose sum is σ = 3193851546600. Its totient is φ = 198180864000.

The previous prime is 812482559989. The next prime is 812482560007. The reversal of 812482560000 is 65284218.

812482560000 is a `hidden beast` number, since 8 + 1 + 2 + 48 + 2 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1140).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812482560007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28016639986 + ... + 28016640014.

Almost surely, 2^812482560000 is an apocalyptic number.

812482560000 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 812482560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596925773300).

812482560000 is an abundant number, since it is smaller than the sum of its proper divisors (2381368986600).

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

812482560000 is an frugal number, since it uses more digits than its factorization.

812482560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 812482560000 in words is "eight hundred twelve billion, four hundred eighty-two million, five hundred sixty thousand".