86192511648 has 96 divisors (see below), whose sum is σ = 239641234560. Its totient is φ = 27032125440.

The previous prime is 86192511619. The next prime is 86192511659. The reversal of 86192511648 is 84611529168.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 86192511648.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6732133 + ... + 6744923.

It is an arithmetic number, because the mean of its divisors is an integer number (2496262860).

Almost surely, 2^86192511648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86192511648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119820617280).

86192511648 is an abundant number, since it is smaller than the sum of its proper divisors (153448722912).

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

86192511648 is a wasteful number, since it uses less digits than its factorization.

86192511648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16950 (or 16942 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The spelling of 86192511648 in words is "eighty-six billion, one hundred ninety-two million, five hundred eleven thousand, six hundred forty-eight".