78506555560587 has 48 divisors (see below), whose sum is σ = 148820811659520. Its totient is φ = 38636172244800.

The previous prime is 78506555560579. The next prime is 78506555560619.

78506555560587 is a `hidden beast` number, since 7 + 8 + 5 + 0 + 6 + 5 + 5 + 5 + 5 + 605 + 8 + 7 = 666.

78506555560587 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 78506555560587 - 2³ = 78506555560579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (78506555560507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2981172964 + ... + 2981199297.

It is an arithmetic number, because the mean of its divisors is an integer number (3100433576240).

Almost surely, 2^{78506555560587} is an apocalyptic number.

78506555560587 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

78506555560587 is a deficient number, since it is larger than the sum of its proper divisors (70314256098933).

78506555560587 is a wasteful number, since it uses less digits than its factorization.

78506555560587 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962372304 (or 5962372301 counting only the distinct ones).

The product of its (nonzero) digits is 1764000000, while the sum is 72.

The spelling of 78506555560587 in words is "seventy-eight trillion, five hundred six billion, five hundred fifty-five million, five hundred sixty thousand, five hundred eighty-seven".