86151074520 has 768 divisors, whose sum is σ = 331512652800. Its totient is φ = 17484595200.

The previous prime is 86151074509. The next prime is 86151074663. The reversal of 86151074520 is 2547015168.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 628839892 + ... + 628840028.

It is an arithmetic number, because the mean of its divisors is an integer number (431657100).

Almost surely, 2^86151074520 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 86151074520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165756326400).

86151074520 is an abundant number, since it is smaller than the sum of its proper divisors (245361578280).

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

86151074520 is a wasteful number, since it uses less digits than its factorization.

86151074520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

Adding to 86151074520 its reverse (2547015168), we get a palindrome (88698089688).

The spelling of 86151074520 in words is "eighty-six billion, one hundred fifty-one million, seventy-four thousand, five hundred twenty".