86125918560 has 384 divisors, whose sum is σ = 305593440768. Its totient is φ = 20207616000.

The previous prime is 86125918559. The next prime is 86125918561. The reversal of 86125918560 is 6581952168.

It is an interprime number because it is at equal distance from previous prime (86125918559) and next prime (86125918561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86125918561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28357362 + ... + 28360398.

It is an arithmetic number, because the mean of its divisors is an integer number (795816252).

Almost surely, 2^86125918560 is an apocalyptic number.

86125918560 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 86125918560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152796720384).

86125918560 is an abundant number, since it is smaller than the sum of its proper divisors (219467522208).

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

86125918560 is a wasteful number, since it uses less digits than its factorization.

86125918560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 51.

The spelling of 86125918560 in words is "eighty-six billion, one hundred twenty-five million, nine hundred eighteen thousand, five hundred sixty".