86189603760 has 120 divisors (see below), whose sum is σ = 311719100784. Its totient is φ = 21215900160.

The previous prime is 86189603743. The next prime is 86189603761. The reversal of 86189603760 is 6730698168.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×86189603760² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86189603697 and 86189603706.

It is not an unprimeable number, because it can be changed into a prime (86189603761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4594786 + ... + 4613505.

Almost surely, 2^86189603760 is an apocalyptic number.

86189603760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86189603760 is an abundant number, since it is smaller than the sum of its proper divisors (225529497024).

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

86189603760 is a wasteful number, since it uses less digits than its factorization.

86189603760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208323 (or 9208314 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 86189603760 in words is "eighty-six billion, one hundred eighty-nine million, six hundred three thousand, seven hundred sixty".