77968965550080 has 960 divisors, whose sum is σ = 294324254042112. Its totient is φ = 17410723676160.

The previous prime is 77968965550079. The next prime is 77968965550121. The reversal of 77968965550080 is 8005556986977.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 77968965549984 and 77968965550011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2159966592 + ... + 2160002688.

Almost surely, 2^{77968965550080} 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 77968965550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147162127021056).

77968965550080 is an abundant number, since it is smaller than the sum of its proper divisors (216355288492032).

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

77968965550080 is a wasteful number, since it uses less digits than its factorization.

77968965550080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36208 (or 36182 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 75.

The spelling of 77968965550080 in words is "seventy-seven trillion, nine hundred sixty-eight billion, nine hundred sixty-five million, five hundred fifty thousand, eighty".