68888735102880 has 864 divisors, whose sum is σ = 308291437419840. Its totient is φ = 14314537036800.

The previous prime is 68888735102857. The next prime is 68888735102881. The reversal of 68888735102880 is 8820153788886.

68888735102880 is a `hidden beast` number, since 6 + 8 + 8 + 8 + 8 + 7 + 3 + 510 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×68888735102880² (a number of 28 digits) contains 22 as substring.

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 = 68888735102799 and 68888735102808.

It is not an unprimeable number, because it can be changed into a prime (68888735102881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24268495 + ... + 26958065.

It is an arithmetic number, because the mean of its divisors is an integer number (356818793310).

Almost surely, 2^{68888735102880} is an apocalyptic number.

68888735102880 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 68888735102880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154145718709920).

68888735102880 is an abundant number, since it is smaller than the sum of its proper divisors (239402702316960).

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

68888735102880 is a wasteful number, since it uses less digits than its factorization.

68888735102880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689631 (or 2689599 counting only the distinct ones).

The product of its (nonzero) digits is 330301440, while the sum is 72.

The spelling of 68888735102880 in words is "sixty-eight trillion, eight hundred eighty-eight billion, seven hundred thirty-five million, one hundred two thousand, eight hundred eighty".