86125182080 has 512 divisors, whose sum is σ = 258696806400. Its totient is φ = 26754416640.

The previous prime is 86125182053. The next prime is 86125182103. The reversal of 86125182080 is 8028152168.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335117312 + ... + 335117568.

It is an arithmetic number, because the mean of its divisors is an integer number (505267200).

Almost surely, 2^86125182080 is an apocalyptic number.

86125182080 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 86125182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129348403200).

86125182080 is an abundant number, since it is smaller than the sum of its proper divisors (172571624320).

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

86125182080 is a wasteful number, since it uses less digits than its factorization.

86125182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The spelling of 86125182080 in words is "eighty-six billion, one hundred twenty-five million, one hundred eighty-two thousand, eighty".