86637188568100 has 81 divisors (see below), whose sum is σ = 198422411544147. Its totient is φ = 32830264445760.

The previous prime is 86637188568037. The next prime is 86637188568103. The reversal of 86637188568100 is 186588173668.

The square root of 86637188568100 is 9307910.

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

It can be written as a sum of positive squares in 4 ways, for example, as 53844981871396 + 32792206696704 = 7337914^2 + 5726448^2 .

It is a super-2 number, since 2×86637188568100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86637188568103) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1768478406 + ... + 1768527394.

Almost surely, 2^{86637188568100} is an apocalyptic number.

86637188568100 is the 9307910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86637188568100

86637188568100 is an abundant number, since it is smaller than the sum of its proper divisors (111785222976047).

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

86637188568100 is an frugal number, since it uses more digits than its factorization.

86637188568100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98030 (or 49015 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 67.

The spelling of 86637188568100 in words is "eighty-six trillion, six hundred thirty-seven billion, one hundred eighty-eight million, five hundred sixty-eight thousand, one hundred".