86515968000 has 1728 divisors, whose sum is σ = 387431553600. Its totient is φ = 17031168000.

The previous prime is 86515967999. The next prime is 86515968017. The reversal of 86515968000 is 86951568.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4553471991 + ... + 4553472009.

It is an arithmetic number, because the mean of its divisors is an integer number (224208075).

Almost surely, 2^86515968000 is an apocalyptic number.

86515968000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86515968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193715776800).

86515968000 is an abundant number, since it is smaller than the sum of its proper divisors (300915585600).

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

86515968000 is a wasteful number, since it uses less digits than its factorization.

86515968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 86515968000 in words is "eighty-six billion, five hundred fifteen million, nine hundred sixty-eight thousand".