86288532984 has 512 divisors, whose sum is σ = 270729216000. Its totient is φ = 25352870400.

The previous prime is 86288532983. The next prime is 86288533039. The reversal of 86288532984 is 48923588268.

86288532984 is a `hidden beast` number, since 8 + 6 + 2 + 8 + 8 + 532 + 98 + 4 = 666.

It is a super-4 number, since 4×86288532984⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86288532983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 451772329 + ... + 451772519.

It is an arithmetic number, because the mean of its divisors is an integer number (528768000).

Almost surely, 2^86288532984 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 86288532984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135364608000).

86288532984 is an abundant number, since it is smaller than the sum of its proper divisors (184440683016).

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

86288532984 is a wasteful number, since it uses less digits than its factorization.

86288532984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 86288532984 in words is "eighty-six billion, two hundred eighty-eight million, five hundred thirty-two thousand, nine hundred eighty-four".