86540148713766 has 128 divisors (see below), whose sum is σ = 190927773388800. Its totient is φ = 25932821765760.

The previous prime is 86540148713731. The next prime is 86540148713773. The reversal of 86540148713766 is 66731784104568.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86540148713697 and 86540148713706.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1738322511 + ... + 1738372293.

It is an arithmetic number, because the mean of its divisors is an integer number (1491623229600).

Almost surely, 2^{86540148713766} is an apocalyptic number.

86540148713766 is an abundant number, since it is smaller than the sum of its proper divisors (104387624675034).

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

86540148713766 is a wasteful number, since it uses less digits than its factorization.

86540148713766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50794.

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 86540148713766 in words is "eighty-six trillion, five hundred forty billion, one hundred forty-eight million, seven hundred thirteen thousand, seven hundred sixty-six".