86665800095136 has 192 divisors, whose sum is σ = 266215690137600. Its totient is φ = 27354109536000.

The previous prime is 86665800095131. The next prime is 86665800095201. The reversal of 86665800095136 is 63159000856668.

It is a super-2 number, since 2×86665800095136² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86665800095131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30674631 + ... + 33380601.

It is an arithmetic number, because the mean of its divisors is an integer number (1386540052800).

Almost surely, 2^{86665800095136} 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 86665800095136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133107845068800).

86665800095136 is an abundant number, since it is smaller than the sum of its proper divisors (179549890042464).

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

86665800095136 is a wasteful number, since it uses less digits than its factorization.

86665800095136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707960 (or 2707946 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 86665800095136 in words is "eighty-six trillion, six hundred sixty-five billion, eight hundred million, ninety-five thousand, one hundred thirty-six".