78500180312064 has 600 divisors, whose sum is σ = 268621320135168. Its totient is φ = 22378954752000.

The previous prime is 78500180311997. The next prime is 78500180312083. The reversal of 78500180312064 is 46021308100587.

78500180312064 is a `hidden beast` number, since 7 + 8 + 500 + 1 + 80 + 3 + 1 + 2 + 0 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4301134939 + ... + 4301153189.

Almost surely, 2^{78500180312064} 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 78500180312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134310660067584).

78500180312064 is an abundant number, since it is smaller than the sum of its proper divisors (190121139823104).

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

78500180312064 is an equidigital number, since it uses as much as digits as its factorization.

78500180312064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18761 (or 18726 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 78500180312064 in words is "seventy-eight trillion, five hundred billion, one hundred eighty million, three hundred twelve thousand, sixty-four".