86125068288 has 600 divisors, whose sum is σ = 300437215232. Its totient is φ = 24078974976.

The previous prime is 86125068277. The next prime is 86125068329. The reversal of 86125068288 is 88286052168.

It is a happy number.

It is a super-2 number, since 2×86125068288² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 678150081 + ... + 678150207.

Almost surely, 2^86125068288 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 86125068288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150218607616).

86125068288 is an abundant number, since it is smaller than the sum of its proper divisors (214312146944).

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

86125068288 is an equidigital number, since it uses as much as digits as its factorization.

86125068288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 86125068288 in words is "eighty-six billion, one hundred twenty-five million, sixty-eight thousand, two hundred eighty-eight".