86512470259264 has 315 divisors, whose sum is σ = 208354436193393. Its totient is φ = 35536269694464.

The previous prime is 86512470259199. The next prime is 86512470259289. The reversal of 86512470259264 is 46295207421568.

The square root of 86512470259264 is 9301208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 77412546433600 + 9099923825664 = 8798440^2 + 3016608^2 .

It is a super-2 number, since 2×86512470259264² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1291230899359 + ... + 1291230899425.

Almost surely, 2^{86512470259264} is an apocalyptic number.

86512470259264 is the 9301208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86512470259264

86512470259264 is an abundant number, since it is smaller than the sum of its proper divisors (121841965934129).

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

86512470259264 is an frugal number, since it uses more digits than its factorization.

86512470259264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 61.

The spelling of 86512470259264 in words is "eighty-six trillion, five hundred twelve billion, four hundred seventy million, two hundred fifty-nine thousand, two hundred sixty-four".