86545106910 has 160 divisors (see below), whose sum is σ = 234295649280. Its totient is φ = 22922129088.

The previous prime is 86545106903. The next prime is 86545106917. The reversal of 86545106910 is 1960154568.

86545106910 is a `hidden beast` number, since 8 + 6 + 545 + 10 + 6 + 91 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86545106903) and next prime (86545106917).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86545106917) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103152271 + ... + 103153109.

It is an arithmetic number, because the mean of its divisors is an integer number (1464347808).

Almost surely, 2^86545106910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86545106910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117147824640).

86545106910 is an abundant number, since it is smaller than the sum of its proper divisors (147750542370).

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

86545106910 is a wasteful number, since it uses less digits than its factorization.

86545106910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 86545106910 in words is "eighty-six billion, five hundred forty-five million, one hundred six thousand, nine hundred ten".