57587666678575 has 48 divisors (see below), whose sum is σ = 78749306007552. Its totient is φ = 41772577836000.

The previous prime is 57587666678569. The next prime is 57587666678587.

57587666678575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57587666678575 - 2²⁹ = 57587129807663 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10484980 + ... + 15003670.

It is an arithmetic number, because the mean of its divisors is an integer number (1640610541824).

Almost surely, 2^{57587666678575} is an apocalyptic number.

57587666678575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57587666678575 is a deficient number, since it is larger than the sum of its proper divisors (21161639328977).

57587666678575 is a wasteful number, since it uses less digits than its factorization.

57587666678575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519117 (or 4519090 counting only the distinct ones).

The product of its digits is 124467840000, while the sum is 88.

The spelling of 57587666678575 in words is "fifty-seven trillion, five hundred eighty-seven billion, six hundred sixty-six million, six hundred seventy-eight thousand, five hundred seventy-five".