86511518147712 has 576 divisors, whose sum is σ = 283170680231040. Its totient is φ = 23329746800640.

The previous prime is 86511518147629. The next prime is 86511518147749. The reversal of 86511518147712 is 21774181511568.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1840764598 + ... + 1840811594.

It is an arithmetic number, because the mean of its divisors is an integer number (491615764290).

Almost surely, 2^{86511518147712} 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 86511518147712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141585340115520).

86511518147712 is an abundant number, since it is smaller than the sum of its proper divisors (196659162083328).

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

86511518147712 is a wasteful number, since it uses less digits than its factorization.

86511518147712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47337 (or 47299 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 57.

The spelling of 86511518147712 in words is "eighty-six trillion, five hundred eleven billion, five hundred eighteen million, one hundred forty-seven thousand, seven hundred twelve".