86124120960 has 128 divisors (see below), whose sum is σ = 276270141600. Its totient is φ = 22820069376.

The previous prime is 86124120899. The next prime is 86124120991. The reversal of 86124120960 is 6902142168.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×86124120960² (a number of 23 digits) contains 22 as substring.

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, 158586 + ... + 444294.

Almost surely, 2^86124120960 is an apocalyptic number.

86124120960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86124120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138135070800).

86124120960 is an abundant number, since it is smaller than the sum of its proper divisors (190146020640).

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

86124120960 is a wasteful number, since it uses less digits than its factorization.

86124120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285888 (or 285876 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 86124120960 in words is "eighty-six billion, one hundred twenty-four million, one hundred twenty thousand, nine hundred sixty".