8112209356800 has 2592 divisors, whose sum is σ = 33580263225600. Its totient is φ = 1934917632000.

The previous prime is 8112209356793. The next prime is 8112209356847. The reversal of 8112209356800 is 86539022118.

8112209356800 is a `hidden beast` number, since 8 + 1 + 12 + 209 + 356 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

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 215 ways as a sum of consecutive naturals, for example, 197858764780 + ... + 197858764820.

Almost surely, 2^{8112209356800} is an apocalyptic number.

8112209356800 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 8112209356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790131612800).

8112209356800 is an abundant number, since it is smaller than the sum of its proper divisors (25468053868800).

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

8112209356800 is an equidigital number, since it uses as much as digits as its factorization.

8112209356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 8112209356800 in words is "eight trillion, one hundred twelve billion, two hundred nine million, three hundred fifty-six thousand, eight hundred".