68895889826400 has 576 divisors, whose sum is σ = 306675046540800. Its totient is φ = 14536275240960.

The previous prime is 68895889826369. The next prime is 68895889826471. The reversal of 68895889826400 is 462898859886.

68895889826400 is a `hidden beast` number, since 6 + 8 + 8 + 9 + 58 + 89 + 82 + 6 + 400 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68895889826400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15559810 + ... + 19491009.

It is an arithmetic number, because the mean of its divisors is an integer number (532421955800).

Almost surely, 2^{68895889826400} is an apocalyptic number.

68895889826400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68895889826400 is an abundant number, since it is smaller than the sum of its proper divisors (237779156714400).

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

68895889826400 is a wasteful number, since it uses less digits than its factorization.

68895889826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35050868 (or 35050849 counting only the distinct ones).

The product of its (nonzero) digits is 3822059520, while the sum is 81.

The spelling of 68895889826400 in words is "sixty-eight trillion, eight hundred ninety-five billion, eight hundred eighty-nine million, eight hundred twenty-six thousand, four hundred".