56116672261585 has 16 divisors (see below), whose sum is σ = 72520284387600. Its totient is φ = 41439845756160.

The previous prime is 56116672261579. The next prime is 56116672261591. The reversal of 56116672261585 is 58516227661165.

56116672261585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56116672261579) and next prime (56116672261591).

It can be written as a sum of positive squares in 8 ways, for example, as 4591968980544 + 51524703281041 = 2142888^2 + 7178071^2 .

It is not a de Polignac number, because 56116672261585 - 2¹⁹ = 56116671737297 is a prime.

It is a super-3 number, since 3×56116672261585³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17118691 + ... + 20131639.

It is an arithmetic number, because the mean of its divisors is an integer number (4532517774225).

Almost surely, 2^{56116672261585} is an apocalyptic number.

It is an amenable number.

56116672261585 is a deficient number, since it is larger than the sum of its proper divisors (16403612126015).

56116672261585 is a wasteful number, since it uses less digits than its factorization.

56116672261585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299508.

The product of its digits is 36288000, while the sum is 61.

The spelling of 56116672261585 in words is "fifty-six trillion, one hundred sixteen billion, six hundred seventy-two million, two hundred sixty-one thousand, five hundred eighty-five".