811812412320 has 768 divisors, whose sum is σ = 3313701715968. Its totient is φ = 162363801600.

The previous prime is 811812412309. The next prime is 811812412339. The reversal of 811812412320 is 23214218118.

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 127 ways as a sum of consecutive naturals, for example, 113520745 + ... + 113527895.

It is an arithmetic number, because the mean of its divisors is an integer number (4314715776).

Almost surely, 2^811812412320 is an apocalyptic number.

811812412320 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 811812412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656850857984).

811812412320 is an abundant number, since it is smaller than the sum of its proper divisors (2501889303648).

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

811812412320 is a wasteful number, since it uses less digits than its factorization.

811812412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7325 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 811812412320 in words is "eight hundred eleven billion, eight hundred twelve million, four hundred twelve thousand, three hundred twenty".