86152177248 has 96 divisors (see below), whose sum is σ = 228060645120. Its totient is φ = 28475066880.

The previous prime is 86152177207. The next prime is 86152177253. The reversal of 86152177248 is 84277125168.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86152177248.

It is a congruent number.

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, 23226018 + ... + 23229726.

It is an arithmetic number, because the mean of its divisors is an integer number (2375631720).

Almost surely, 2^86152177248 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 86152177248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114030322560).

86152177248 is an abundant number, since it is smaller than the sum of its proper divisors (141908467872).

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

86152177248 is a wasteful number, since it uses less digits than its factorization.

86152177248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5692 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The spelling of 86152177248 in words is "eighty-six billion, one hundred fifty-two million, one hundred seventy-seven thousand, two hundred forty-eight".