78648454010880 has 864 divisors, whose sum is σ = 297493710958080. Its totient is φ = 19206698434560.

The previous prime is 78648454010857. The next prime is 78648454010881. The reversal of 78648454010880 is 8801045484687.

78648454010880 is a `hidden beast` number, since 7 + 8 + 6 + 4 + 8 + 4 + 540 + 1 + 0 + 8 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78648454010881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1978010200 + ... + 1978049960.

It is an arithmetic number, because the mean of its divisors is an integer number (344321424720).

Almost surely, 2^{78648454010880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78648454010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148746855479040).

78648454010880 is an abundant number, since it is smaller than the sum of its proper divisors (218845256947200).

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

78648454010880 is a wasteful number, since it uses less digits than its factorization.

78648454010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39947 (or 39911 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 78648454010880 in words is "seventy-eight trillion, six hundred forty-eight billion, four hundred fifty-four million, ten thousand, eight hundred eighty".