2068587368600 has 192 divisors, whose sum is σ = 5095819680000. Its totient is φ = 778753958400.

The previous prime is 2068587368587. The next prime is 2068587368621. The reversal of 2068587368600 is 68637858602.

It is a self number, because there is not a number n which added to its sum of digits gives 2068587368600.

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 47 ways as a sum of consecutive naturals, for example, 613276514 + ... + 613279886.

It is an arithmetic number, because the mean of its divisors is an integer number (26540727500).

Almost surely, 2^{2068587368600} is an apocalyptic number.

2068587368600 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 2068587368600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547909840000).

2068587368600 is an abundant number, since it is smaller than the sum of its proper divisors (3027232311400).

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

2068587368600 is a wasteful number, since it uses less digits than its factorization.

2068587368600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 2068587368600 in words is "two trillion, sixty-eight billion, five hundred eighty-seven million, three hundred sixty-eight thousand, six hundred".