86956242714 has 192 divisors, whose sum is σ = 219162464640. Its totient is φ = 25518240000.

The previous prime is 86956242713. The next prime is 86956242719. The reversal of 86956242714 is 41724265968.

86956242714 is a `hidden beast` number, since 8 + 6 + 9 + 5 + 624 + 2 + 7 + 1 + 4 = 666.

It is a super-2 number, since 2×86956242714² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86956242713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60680542 + ... + 60681974.

It is an arithmetic number, because the mean of its divisors is an integer number (1141471170).

Almost surely, 2^86956242714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86956242714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109581232320).

86956242714 is an abundant number, since it is smaller than the sum of its proper divisors (132206221926).

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

86956242714 is a wasteful number, since it uses less digits than its factorization.

86956242714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1737 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 86956242714 in words is "eighty-six billion, nine hundred fifty-six million, two hundred forty-two thousand, seven hundred fourteen".