86547538281204 has 288 divisors, whose sum is σ = 293885768816640. Its totient is φ = 20740156012800.

The previous prime is 86547538281163. The next prime is 86547538281209. The reversal of 86547538281204 is 40218283574568.

86547538281204 is a `hidden beast` number, since 8 + 6 + 5 + 47 + 5 + 382 + 8 + 1 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86547538281209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70708449 + ... + 71922039.

It is an arithmetic number, because the mean of its divisors is an integer number (1020436697280).

Almost surely, 2^{86547538281204} is an apocalyptic number.

86547538281204 is a gapful number since it is divisible by the number (84) 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 86547538281204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146942884408320).

86547538281204 is an abundant number, since it is smaller than the sum of its proper divisors (207338230535436).

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

86547538281204 is a wasteful number, since it uses less digits than its factorization.

86547538281204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215611 (or 1215606 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 86547538281204 in words is "eighty-six trillion, five hundred forty-seven billion, five hundred thirty-eight million, two hundred eighty-one thousand, two hundred four".