57886916409 has 189 divisors, whose sum is σ = 108168055317. Its totient is φ = 30869557488.

The previous prime is 57886916407. The next prime is 57886916411. The reversal of 57886916409 is 90461968875.

The square root of 57886916409 is 240597.

It is a perfect power (a square), and thus also a powerful number.

57886916409 is a `hidden beast` number, since 578 + 8 + 6 + 9 + 16 + 40 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (57886916407) and next prime (57886916411).

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 57886916409 - 2¹ = 57886916407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (57886916407) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 863983794 + ... + 863983860.

It is an arithmetic number, because the mean of its divisors is an integer number (572317753).

Almost surely, 2^57886916409 is an apocalyptic number.

57886916409 is the 240597-th square number.

57886916409 is the 120299-th centered octagonal number.

It is an amenable number.

57886916409 is a deficient number, since it is larger than the sum of its proper divisors (50281138908).

57886916409 is an frugal number, since it uses more digits than its factorization.

57886916409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 57886916409 in words is "fifty-seven billion, eight hundred eighty-six million, nine hundred sixteen thousand, four hundred nine".