791112212800 has 1008 divisors, whose sum is σ = 2559224865792. Its totient is φ = 238978252800.

The previous prime is 791112212741. The next prime is 791112212861. The reversal of 791112212800 is 8212211197.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10837153564 + ... + 10837153636.

Almost surely, 2^791112212800 is an apocalyptic number.

791112212800 is a gapful number since it is divisible by the number (70) 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 791112212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279612432896).

791112212800 is an abundant number, since it is smaller than the sum of its proper divisors (1768112652992).

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

791112212800 is an equidigital number, since it uses as much as digits as its factorization.

791112212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

Adding to 791112212800 its reverse (8212211197), we get a palindrome (799324423997).

The spelling of 791112212800 in words is "seven hundred ninety-one billion, one hundred twelve million, two hundred twelve thousand, eight hundred".