86511988265472 has 2880 divisors, whose sum is σ = 349847527075200. Its totient is φ = 20968774041600.

The previous prime is 86511988265429. The next prime is 86511988265477. The reversal of 86511988265472 is 27456288911568.

86511988265472 is a `hidden beast` number, since 8 + 6 + 5 + 1 + 1 + 98 + 8 + 2 + 65 + 472 = 666.

It is a super-2 number, since 2×86511988265472² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 86511988265472.

It is not an unprimeable number, because it can be changed into a prime (86511988265477) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 113681981572 + ... + 113681982332.

It is an arithmetic number, because the mean of its divisors is an integer number (121474835790).

Almost surely, 2^{86511988265472} 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 86511988265472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174923763537600).

86511988265472 is an abundant number, since it is smaller than the sum of its proper divisors (263335538809728).

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

86511988265472 is a wasteful number, since it uses less digits than its factorization.

86511988265472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 876 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 72.

The spelling of 86511988265472 in words is "eighty-six trillion, five hundred eleven billion, nine hundred eighty-eight million, two hundred sixty-five thousand, four hundred seventy-two".