78813616680000 has 1120 divisors, whose sum is σ = 300084317280000. Its totient is φ = 20253542400000.

The previous prime is 78813616679989. The next prime is 78813616680017. The reversal of 78813616680000 is 8661631887.

78813616680000 is a `hidden beast` number, since 7 + 8 + 8 + 13 + 616 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 18760677900 + ... + 18760682100.

Almost surely, 2^{78813616680000} 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 78813616680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150042158640000).

78813616680000 is an abundant number, since it is smaller than the sum of its proper divisors (221270700600000).

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

78813616680000 is a wasteful number, since it uses less digits than its factorization.

78813616680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 78813616680000 in words is "seventy-eight trillion, eight hundred thirteen billion, six hundred sixteen million, six hundred eighty thousand".