86806367961 has 32 divisors (see below), whose sum is σ = 120733660800. Its totient is φ = 55429608960.

The previous prime is 86806367951. The next prime is 86806367983. The reversal of 86806367961 is 16976360868.

It is not a de Polignac number, because 86806367961 - 2⁷ = 86806367833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86806367895 and 86806367904.

It is not an unprimeable number, because it can be changed into a prime (86806367941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2243106 + ... + 2281476.

It is an arithmetic number, because the mean of its divisors is an integer number (3772926900).

Almost surely, 2^86806367961 is an apocalyptic number.

It is an amenable number.

86806367961 is a deficient number, since it is larger than the sum of its proper divisors (33927292839).

86806367961 is a wasteful number, since it uses less digits than its factorization.

86806367961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38729.

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 86806367961 in words is "eighty-six billion, eight hundred six million, three hundred sixty-seven thousand, nine hundred sixty-one".