86009979821472 has 1152 divisors, whose sum is σ = 307467794350080. Its totient is φ = 22270782504960.

The previous prime is 86009979821471. The next prime is 86009979821551. The reversal of 86009979821472 is 27412897990068.

86009979821472 is a `hidden beast` number, since 8 + 6 + 0 + 0 + 9 + 9 + 79 + 82 + 1 + 472 = 666.

It is a super-2 number, since 2×86009979821472² (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 86009979821472.

It is not an unprimeable number, because it can be changed into a prime (86009979821471) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14585376028 + ... + 14585381924.

It is an arithmetic number, because the mean of its divisors is an integer number (266899127040).

Almost surely, 2^{86009979821472} 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 86009979821472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153733897175040).

86009979821472 is an abundant number, since it is smaller than the sum of its proper divisors (221457814528608).

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

86009979821472 is a wasteful number, since it uses less digits than its factorization.

86009979821472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6186 (or 6175 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 86009979821472 in words is "eighty-six trillion, nine billion, nine hundred seventy-nine million, eight hundred twenty-one thousand, four hundred seventy-two".