68055811200 has 960 divisors, whose sum is σ = 284961969600. Its totient is φ = 15855575040.

The previous prime is 68055811163. The next prime is 68055811237. The reversal of 68055811200 is 211855086.

68055811200 is a `hidden beast` number, since 6 + 80 + 558 + 1 + 1 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68055811163) and next prime (68055811237).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64021869 + ... + 64022931.

It is an arithmetic number, because the mean of its divisors is an integer number (296835385).

Almost surely, 2^68055811200 is an apocalyptic number.

68055811200 is a gapful number since it is divisible by the number (60) 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 68055811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142480984800).

68055811200 is an abundant number, since it is smaller than the sum of its proper divisors (216906158400).

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

68055811200 is a wasteful number, since it uses less digits than its factorization.

68055811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 68055811200 in words is "sixty-eight billion, fifty-five million, eight hundred eleven thousand, two hundred".