77585660028 has 48 divisors (see below), whose sum is σ = 205427765760. Its totient is φ = 25311632112.

The previous prime is 77585660017. The next prime is 77585660059. The reversal of 77585660028 is 82006658577.

77585660028 is a `hidden beast` number, since 7 + 7 + 5 + 8 + 5 + 6 + 600 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7637326 + ... + 7647477.

It is an arithmetic number, because the mean of its divisors is an integer number (4279745120).

Almost surely, 2^77585660028 is an apocalyptic number.

It is an amenable number.

77585660028 is an abundant number, since it is smaller than the sum of its proper divisors (127842105732).

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

77585660028 is a wasteful number, since it uses less digits than its factorization.

77585660028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15284863 (or 15284855 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 77585660028 in words is "seventy-seven billion, five hundred eighty-five million, six hundred sixty thousand, twenty-eight".