75577677557 has 16 divisors (see below), whose sum is σ = 79742208000. Its totient is φ = 71432040240.

The previous prime is 75577677551. The next prime is 75577677559.

75577677557 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 75577677557 - 2¹² = 75577673461 is a prime.

It is a super-2 number, since 2×75577677557² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75577677551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19322432 + ... + 19326342.

It is an arithmetic number, because the mean of its divisors is an integer number (4983888000).

Almost surely, 2^75577677557 is an apocalyptic number.

It is an amenable number.

75577677557 is a deficient number, since it is larger than the sum of its proper divisors (4164530443).

75577677557 is a wasteful number, since it uses less digits than its factorization.

75577677557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056.

The product of its digits is 441183750, while the sum is 68.

The spelling of 75577677557 in words is "seventy-five billion, five hundred seventy-seven million, six hundred seventy-seven thousand, five hundred fifty-seven".