813982291200 has 1296 divisors, whose sum is σ = 3302466795264. Its totient is φ = 189775872000.

The previous prime is 813982291189. The next prime is 813982291229. The reversal of 813982291200 is 2192289318.

It is a happy number.

813982291200 is a `hidden beast` number, since 81 + 3 + 9 + 82 + 291 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2600582244 + ... + 2600582556.

Almost surely, 2^813982291200 is an apocalyptic number.

813982291200 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 813982291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651233397632).

813982291200 is an abundant number, since it is smaller than the sum of its proper divisors (2488484504064).

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

813982291200 is a wasteful number, since it uses less digits than its factorization.

813982291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 813982291200 in words is "eight hundred thirteen billion, nine hundred eighty-two million, two hundred ninety-one thousand, two hundred".