2068853152800 has 576 divisors, whose sum is σ = 7898938435584. Its totient is φ = 460581273600.

The previous prime is 2068853152763. The next prime is 2068853152813. The reversal of 2068853152800 is 82513588602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2068853152800.

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 95 ways as a sum of consecutive naturals, for example, 98991952 + ... + 99012848.

It is an arithmetic number, because the mean of its divisors is an integer number (13713434784).

Almost surely, 2^{2068853152800} is an apocalyptic number.

2068853152800 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 2068853152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949469217792).

2068853152800 is an abundant number, since it is smaller than the sum of its proper divisors (5830085282784).

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

2068853152800 is a wasteful number, since it uses less digits than its factorization.

2068853152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21081 (or 21068 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 2068853152800 in words is "two trillion, sixty-eight billion, eight hundred fifty-three million, one hundred fifty-two thousand, eight hundred".