85186727640 has 192 divisors, whose sum is σ = 316523151360. Its totient is φ = 19464157440.

The previous prime is 85186727629. The next prime is 85186727749. The reversal of 85186727640 is 4672768158.

85186727640 is a `hidden beast` number, since 8 + 518 + 67 + 2 + 7 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10395945 + ... + 10404135.

It is an arithmetic number, because the mean of its divisors is an integer number (1648558080).

Almost surely, 2^85186727640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85186727640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158261575680).

85186727640 is an abundant number, since it is smaller than the sum of its proper divisors (231336423720).

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

85186727640 is a wasteful number, since it uses less digits than its factorization.

85186727640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12342 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 85186727640 in words is "eighty-five billion, one hundred eighty-six million, seven hundred twenty-seven thousand, six hundred forty".