86868756875340 has 432 divisors, whose sum is σ = 306984889358784. Its totient is φ = 19800076369920.

The previous prime is 86868756875333. The next prime is 86868756875347. The reversal of 86868756875340 is 4357865786868.

86868756875340 is a `hidden beast` number, since 8 + 6 + 8 + 6 + 8 + 7 + 568 + 7 + 5 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (86868756875333) and next prime (86868756875347).

It is a self number, because there is not a number n which added to its sum of digits gives 86868756875340.

It is not an unprimeable number, because it can be changed into a prime (86868756875347) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 363846244 + ... + 364084916.

It is an arithmetic number, because the mean of its divisors is an integer number (710613169812).

Almost surely, 2^{86868756875340} 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 86868756875340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153492444679392).

86868756875340 is an abundant number, since it is smaller than the sum of its proper divisors (220116132483444).

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

86868756875340 is a wasteful number, since it uses less digits than its factorization.

86868756875340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239710 (or 239694 counting only the distinct ones).

The product of its (nonzero) digits is 13005619200, while the sum is 81.

The spelling of 86868756875340 in words is "eighty-six trillion, eight hundred sixty-eight billion, seven hundred fifty-six million, eight hundred seventy-five thousand, three hundred forty".