86261655616268 has 24 divisors (see below), whose sum is σ = 164687695470144. Its totient is φ = 39208330859600.

The previous prime is 86261655616249. The next prime is 86261655616271.

It is a happy number.

86261655616268 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86261655616198 and 86261655616207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36661130 + ... + 38943057.

It is an arithmetic number, because the mean of its divisors is an integer number (6861987311256).

Almost surely, 2^{86261655616268} is an apocalyptic number.

It is an amenable number.

86261655616268 is a deficient number, since it is larger than the sum of its proper divisors (78426039853876).

86261655616268 is a wasteful number, since it uses less digits than its factorization.

86261655616268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75630133 (or 75630131 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 68.

The spelling of 86261655616268 in words is "eighty-six trillion, two hundred sixty-one billion, six hundred fifty-five million, six hundred sixteen thousand, two hundred sixty-eight".