86520361286688 has 288 divisors, whose sum is σ = 280104838872768. Its totient is φ = 23235390259200.

The previous prime is 86520361286663. The next prime is 86520361286699. The reversal of 86520361286688 is 88668216302568.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60144783 + ... + 61566513.

It is an arithmetic number, because the mean of its divisors is an integer number (972586246086).

Almost surely, 2^{86520361286688} 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 86520361286688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140052419436384).

86520361286688 is an abundant number, since it is smaller than the sum of its proper divisors (193584477586080).

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

86520361286688 is a wasteful number, since it uses less digits than its factorization.

86520361286688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422536 (or 1422521 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 69.

The spelling of 86520361286688 in words is "eighty-six trillion, five hundred twenty billion, three hundred sixty-one million, two hundred eighty-six thousand, six hundred eighty-eight".