2068223155200 has 2112 divisors, whose sum is σ = 8497064903040. Its totient is φ = 496867737600.

The previous prime is 2068223155177. The next prime is 2068223155211. The reversal of 2068223155200 is 25513228602.

It is a happy number.

2068223155200 is a `hidden beast` number, since 2 + 0 + 6 + 82 + 23 + 1 + 552 + 0 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39023078374 + ... + 39023078426.

Almost surely, 2^{2068223155200} is an apocalyptic number.

2068223155200 is a gapful number since it is divisible by the number (20) 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 2068223155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248532451520).

2068223155200 is an abundant number, since it is smaller than the sum of its proper divisors (6428841747840).

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

2068223155200 is an equidigital number, since it uses as much as digits as its factorization.

2068223155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2068223155200 in words is "two trillion, sixty-eight billion, two hundred twenty-three million, one hundred fifty-five thousand, two hundred".