801892224000 has 2112 divisors, whose sum is σ = 3570795970560. Its totient is φ = 175575859200.

The previous prime is 801892223983. The next prime is 801892224041. The reversal of 801892224000 is 422298108.

It is a super-2 number, since 2×801892224000² (a number of 25 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 6314111937 + ... + 6314112063.

Almost surely, 2^801892224000 is an apocalyptic number.

801892224000 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 801892224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785397985280).

801892224000 is an abundant number, since it is smaller than the sum of its proper divisors (2768903746560).

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

801892224000 is a wasteful number, since it uses less digits than its factorization.

801892224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 801892224000 in words is "eight hundred one billion, eight hundred ninety-two million, two hundred twenty-four thousand".