86564397392001 has 27 divisors (see below), whose sum is σ = 129202332736737. Its totient is φ = 55847440077480.

The previous prime is 86564397391987. The next prime is 86564397392003. The reversal of 86564397392001 is 10029379346568.

The square root of 86564397392001 is 9303999.

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

86564397392001 is a `hidden beast` number, since 8 + 6 + 5 + 6 + 4 + 397 + 39 + 200 + 1 = 666.

It is not a de Polignac number, because 86564397392001 - 2¹⁵ = 86564397359233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86564397392001.

It is not an unprimeable number, because it can be changed into a prime (86564397392003) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 865221886 + ... + 865321928.

It is a 1-persistent number, because it is pandigital, but 2⋅86564397392001 = 173128794784002 is not.

Almost surely, 2^{86564397392001} is an apocalyptic number.

86564397392001 is the 9303999-th square number.

86564397392001 is the 4652000-th centered octagonal number.

It is an amenable number.

86564397392001 is a deficient number, since it is larger than the sum of its proper divisors (42637935344736).

86564397392001 is an frugal number, since it uses more digits than its factorization.

86564397392001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200154 (or 100077 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 86564397392001 in words is "eighty-six trillion, five hundred sixty-four billion, three hundred ninety-seven million, three hundred ninety-two thousand, one".