78050384455680 has 2304 divisors, whose sum is σ = 356434167398400. Its totient is φ = 15935121653760.

The previous prime is 78050384455679. The next prime is 78050384455699. The reversal of 78050384455680 is 8655448305087.

78050384455680 is a `hidden beast` number, since 7 + 8 + 0 + 5 + 0 + 38 + 44 + 556 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7019545161 + ... + 7019556279.

It is an arithmetic number, because the mean of its divisors is an integer number (154702329600).

Almost surely, 2^{78050384455680} is an apocalyptic number.

78050384455680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78050384455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178217083699200).

78050384455680 is an abundant number, since it is smaller than the sum of its proper divisors (278383782942720).

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

78050384455680 is a wasteful number, since it uses less digits than its factorization.

78050384455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11212 (or 11180 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 78050384455680 in words is "seventy-eight trillion, fifty billion, three hundred eighty-four million, four hundred fifty-five thousand, six hundred eighty".