68995778201280 has 1120 divisors, whose sum is σ = 284991525536256. Its totient is φ = 15518963073024.

The previous prime is 68995778201243. The next prime is 68995778201299. The reversal of 68995778201280 is 8210287759986.

68995778201280 is a `hidden beast` number, since 6 + 8 + 9 + 9 + 577 + 8 + 20 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 68995778201199 and 68995778201208.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3870287727 + ... + 3870305553.

Almost surely, 2^{68995778201280} is an apocalyptic number.

68995778201280 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 68995778201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142495762768128).

68995778201280 is an abundant number, since it is smaller than the sum of its proper divisors (215995747334976).

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

68995778201280 is a wasteful number, since it uses less digits than its factorization.

68995778201280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18203 (or 18184 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 68995778201280 in words is "sixty-eight trillion, nine hundred ninety-five billion, seven hundred seventy-eight million, two hundred one thousand, two hundred eighty".