86217619968 has 320 divisors, whose sum is σ = 284459472000. Its totient is φ = 25623724032.

The previous prime is 86217619937. The next prime is 86217619973. The reversal of 86217619968 is 86991671268.

86217619968 is a `hidden beast` number, since 8 + 6 + 2 + 1 + 7 + 619 + 9 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4455498 + ... + 4474806.

It is an arithmetic number, because the mean of its divisors is an integer number (888935850).

Almost surely, 2^86217619968 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 86217619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142229736000).

86217619968 is an abundant number, since it is smaller than the sum of its proper divisors (198241852032).

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

86217619968 is a wasteful number, since it uses less digits than its factorization.

86217619968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19372 (or 19350 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 86217619968 in words is "eighty-six billion, two hundred seventeen million, six hundred nineteen thousand, nine hundred sixty-eight".