78533583960384 has 168 divisors, whose sum is σ = 266787957403968. Its totient is φ = 22438166814720.

The previous prime is 78533583960379. The next prime is 78533583960409. The reversal of 78533583960384 is 48306938533587.

78533583960384 is a `hidden beast` number, since 7 + 8 + 5 + 3 + 3 + 5 + 8 + 3 + 9 + 603 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360586977 + ... + 360804704.

It is an arithmetic number, because the mean of its divisors is an integer number (1588023555976).

Almost surely, 2^{78533583960384} is an apocalyptic number.

It is an amenable number.

78533583960384 is an abundant number, since it is smaller than the sum of its proper divisors (188254373443584).

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

78533583960384 is an equidigital number, since it uses as much as digits as its factorization.

78533583960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721391715 (or 721391693 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 78533583960384 in words is "seventy-eight trillion, five hundred thirty-three billion, five hundred eighty-three million, nine hundred sixty thousand, three hundred eighty-four".