86927997120512 has 208 divisors, whose sum is σ = 178647084515328. Its totient is φ = 42269996482560.

The previous prime is 86927997120499. The next prime is 86927997120533. The reversal of 86927997120512 is 21502179972968.

It is a super-3 number, since 3×86927997120512³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 52271795393 + ... + 52271797055.

It is an arithmetic number, because the mean of its divisors is an integer number (858880214016).

Almost surely, 2^{86927997120512} 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 86927997120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89323542257664).

86927997120512 is an abundant number, since it is smaller than the sum of its proper divisors (91719087394816).

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

86927997120512 is a wasteful number, since it uses less digits than its factorization.

86927997120512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 68.

The spelling of 86927997120512 in words is "eighty-six trillion, nine hundred twenty-seven billion, nine hundred ninety-seven million, one hundred twenty thousand, five hundred twelve".